50952361824 has 480 divisors, whose sum is σ = 185265976896. Its totient is φ = 13377208320.

The previous prime is 50952361793. The next prime is 50952361843. The reversal of 50952361824 is 42816325905.

50952361824 is a `hidden beast` number, since 5 + 0 + 9 + 5 + 2 + 3 + 618 + 24 = 666.

It is a super-2 number, since 2×50952361824² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 50952361824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79488544 + ... + 79489184.

Almost surely, 2^50952361824 is an apocalyptic number.

50952361824 is a gapful number since it is divisible by the number (54) 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 50952361824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92632988448).

50952361824 is an abundant number, since it is smaller than the sum of its proper divisors (134313615072).

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

50952361824 is a wasteful number, since it uses less digits than its factorization.

50952361824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 50952361824 in words is "fifty billion, nine hundred fifty-two million, three hundred sixty-one thousand, eight hundred twenty-four".