50856085094400 has 2040 divisors, whose sum is σ = 201536069824320. Its totient is φ = 12693059665920.

The previous prime is 50856085094333. The next prime is 50856085094447. The reversal of 50856085094400 is 449058065805.

50856085094400 is a `hidden beast` number, since 50 + 8 + 56 + 0 + 8 + 50 + 94 + 400 = 666.

It is a super-2 number, since 2×50856085094400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 612723916759 + ... + 612723916841.

Almost surely, 2^{50856085094400} is an apocalyptic number.

50856085094400 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 50856085094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100768034912160).

50856085094400 is an abundant number, since it is smaller than the sum of its proper divisors (150679984729920).

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

50856085094400 is an frugal number, since it uses more digits than its factorization.

50856085094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 50856085094400 in words is "fifty trillion, eight hundred fifty-six billion, eighty-five million, ninety-four thousand, four hundred".