49821341276160 has 960 divisors, whose sum is σ = 188561454681600. Its totient is φ = 12547104768000.

The previous prime is 49821341276159. The next prime is 49821341276167. The reversal of 49821341276160 is 6167214312894.

49821341276160 is a `hidden beast` number, since 4 + 9 + 8 + 2 + 1 + 3 + 4 + 12 + 7 + 616 + 0 = 666.

49821341276160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49821341276097 and 49821341276106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49821341276167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5216343385 + ... + 5216352935.

It is an arithmetic number, because the mean of its divisors is an integer number (196418181960).

Almost surely, 2^{49821341276160} is an apocalyptic number.

49821341276160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49821341276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94280727340800).

49821341276160 is an abundant number, since it is smaller than the sum of its proper divisors (138740113405440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49821341276160 is a wasteful number, since it uses less digits than its factorization.

49821341276160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 49821341276160 in words is "forty-nine trillion, eight hundred twenty-one billion, three hundred forty-one million, two hundred seventy-six thousand, one hundred sixty".