49795875360 has 1152 divisors, whose sum is σ = 226514534400. Its totient is φ = 9990604800.

The previous prime is 49795875307. The next prime is 49795875373. The reversal of 49795875360 is 6357859794.

49795875360 is a `hidden beast` number, since 4 + 9 + 7 + 95 + 8 + 7 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113430021 + ... + 113430459.

It is an arithmetic number, because the mean of its divisors is an integer number (196627200).

Almost surely, 2^49795875360 is an apocalyptic number.

49795875360 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 49795875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113257267200).

49795875360 is an abundant number, since it is smaller than the sum of its proper divisors (176718659040).

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

49795875360 is a wasteful number, since it uses less digits than its factorization.

49795875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 49795875360 in words is "forty-nine billion, seven hundred ninety-five million, eight hundred seventy-five thousand, three hundred sixty".