50031172800 has 1008 divisors, whose sum is σ = 217918052352. Its totient is φ = 11048140800.

The previous prime is 50031172757. The next prime is 50031172813. The reversal of 50031172800 is 827113005.

50031172800 is a `hidden beast` number, since 500 + 3 + 11 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84369304 + ... + 84369896.

It is an arithmetic number, because the mean of its divisors is an integer number (216188544).

Almost surely, 2^50031172800 is an apocalyptic number.

50031172800 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 50031172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108959026176).

50031172800 is an abundant number, since it is smaller than the sum of its proper divisors (167886879552).

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

50031172800 is a wasteful number, since it uses less digits than its factorization.

50031172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 50031172800 its reverse (827113005), we get a palindrome (50858285805).

The spelling of 50031172800 in words is "fifty billion, thirty-one million, one hundred seventy-two thousand, eight hundred".