49656252960 has 288 divisors, whose sum is σ = 183371610240. Its totient is φ = 12665714688.

The previous prime is 49656252887. The next prime is 49656252977. The reversal of 49656252960 is 6925265694.

49656252960 is a `hidden beast` number, since 4 + 9 + 6 + 5 + 625 + 2 + 9 + 6 + 0 = 666.

49656252960 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 (288).

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 = 49656252897 and 49656252906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866476 + ... + 922004.

It is an arithmetic number, because the mean of its divisors is an integer number (636706980).

Almost surely, 2^49656252960 is an apocalyptic number.

49656252960 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 49656252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91685805120).

49656252960 is an abundant number, since it is smaller than the sum of its proper divisors (133715357280).

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

49656252960 is a wasteful number, since it uses less digits than its factorization.

49656252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55582 (or 55562 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 49656252960 in words is "forty-nine billion, six hundred fifty-six million, two hundred fifty-two thousand, nine hundred sixty".