49824046080 has 880 divisors, whose sum is σ = 195169430016. Its totient is φ = 12103188480.

The previous prime is 49824046057. The next prime is 49824046141. The reversal of 49824046080 is 8064042894.

49824046080 is a `hidden beast` number, since 4 + 98 + 24 + 0 + 460 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260858785 + ... + 260858975.

Almost surely, 2^49824046080 is an apocalyptic number.

49824046080 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 49824046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97584715008).

49824046080 is an abundant number, since it is smaller than the sum of its proper divisors (145345383936).

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

49824046080 is a wasteful number, since it uses less digits than its factorization.

49824046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 49824046080 in words is "forty-nine billion, eight hundred twenty-four million, forty-six thousand, eighty".