50135072292864 has 720 divisors, whose sum is σ = 162585320095744. Its totient is φ = 14781815193600.

The previous prime is 50135072292817. The next prime is 50135072292917. The reversal of 50135072292864 is 46829227053105.

50135072292864 is a `hidden beast` number, since 5 + 0 + 1 + 350 + 7 + 2 + 2 + 9 + 286 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 50135072292864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6120747009 + ... + 6120755199.

It is a 1-persistent number, because it is pandigital, but 2⋅50135072292864 = 100270144585728 is not.

Almost surely, 2^{50135072292864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50135072292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81292660047872).

50135072292864 is an abundant number, since it is smaller than the sum of its proper divisors (112450247802880).

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

50135072292864 is a wasteful number, since it uses less digits than its factorization.

50135072292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 50135072292864 in words is "fifty trillion, one hundred thirty-five billion, seventy-two million, two hundred ninety-two thousand, eight hundred sixty-four".