49756512960 has 1344 divisors, whose sum is σ = 230136192000. Its totient is φ = 9754214400.

The previous prime is 49756512931. The next prime is 49756512991. The reversal of 49756512960 is 6921565794.

49756512960 is a `hidden beast` number, since 4 + 9 + 7 + 565 + 12 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49756512897 and 49756512906.

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, 206458440 + ... + 206458680.

Almost surely, 2^49756512960 is an apocalyptic number.

49756512960 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 49756512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115068096000).

49756512960 is an abundant number, since it is smaller than the sum of its proper divisors (180379679040).

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

49756512960 is a wasteful number, since it uses less digits than its factorization.

49756512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 49756512960 in words is "forty-nine billion, seven hundred fifty-six million, five hundred twelve thousand, nine hundred sixty".