50732856806400 has 792 divisors, whose sum is σ = 182710242514800. Its totient is φ = 13449874636800.

The previous prime is 50732856806363. The next prime is 50732856806453. The reversal of 50732856806400 is 460865823705.

50732856806400 is a `hidden beast` number, since 5 + 0 + 7 + 32 + 8 + 568 + 0 + 6 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49786905091 + ... + 49786906109.

It is an arithmetic number, because the mean of its divisors is an integer number (230694750650).

Almost surely, 2^{50732856806400} is an apocalyptic number.

50732856806400 is a gapful number since it is divisible by the number (50) 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 50732856806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91355121257400).

50732856806400 is an abundant number, since it is smaller than the sum of its proper divisors (131977385708400).

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

50732856806400 is a wasteful number, since it uses less digits than its factorization.

50732856806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 50732856806400 in words is "fifty trillion, seven hundred thirty-two billion, eight hundred fifty-six million, eight hundred six thousand, four hundred".