50827160102400 has 5760 divisors, whose sum is σ = 236144435788800. Its totient is φ = 10627448832000.

The previous prime is 50827160102387. The next prime is 50827160102431. The reversal of 50827160102400 is 420106172805.

50827160102400 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 7 + 1 + 601 + 0 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 715875494365 + ... + 715875494435.

It is an arithmetic number, because the mean of its divisors is an integer number (40997297880).

Almost surely, 2^{50827160102400} is an apocalyptic number.

50827160102400 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 50827160102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118072217894400).

50827160102400 is an abundant number, since it is smaller than the sum of its proper divisors (185317275686400).

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

50827160102400 is a wasteful number, since it uses less digits than its factorization.

50827160102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 50827160102400 in words is "fifty trillion, eight hundred twenty-seven billion, one hundred sixty million, one hundred two thousand, four hundred".