49093853760 has 1344 divisors, whose sum is σ = 217278996480. Its totient is φ = 10301644800.

The previous prime is 49093853701. The next prime is 49093853791. The reversal of 49093853760 is 6735839094.

49093853760 is a `hidden beast` number, since 49 + 0 + 9 + 3 + 8 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×49093853760² (a number of 22 digits) contains 22 as substring.

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 = 49093853697 and 49093853706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 486077710 + ... + 486077810.

It is an arithmetic number, because the mean of its divisors is an integer number (161665920).

Almost surely, 2^49093853760 is an apocalyptic number.

49093853760 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 49093853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108639498240).

49093853760 is an abundant number, since it is smaller than the sum of its proper divisors (168185142720).

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

49093853760 is a wasteful number, since it uses less digits than its factorization.

49093853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 49093853760 in words is "forty-nine billion, ninety-three million, eight hundred fifty-three thousand, seven hundred sixty".