49795257600 has 1728 divisors, whose sum is σ = 223365703680. Its totient is φ = 10705305600.

The previous prime is 49795257599. The next prime is 49795257671. The reversal of 49795257600 is 675259794.

49795257600 is a `hidden beast` number, since 4 + 9 + 7 + 9 + 5 + 25 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 743212767 + ... + 743212833.

It is an arithmetic number, because the mean of its divisors is an integer number (129262560).

Almost surely, 2^49795257600 is an apocalyptic number.

49795257600 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 49795257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111682851840).

49795257600 is an abundant number, since it is smaller than the sum of its proper divisors (173570446080).

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

49795257600 is a wasteful number, since it uses less digits than its factorization.

49795257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 49795257600 in words is "forty-nine billion, seven hundred ninety-five million, two hundred fifty-seven thousand, six hundred".