50876312572800 has 2304 divisors, whose sum is σ = 216442386800640. Its totient is φ = 11217346560000.

The previous prime is 50876312572721. The next prime is 50876312572807. The reversal of 50876312572800 is 827521367805.

50876312572800 is a `hidden beast` number, since 5 + 0 + 8 + 7 + 63 + 1 + 2 + 572 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50876312572807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110360764570 + ... + 110360765030.

It is an arithmetic number, because the mean of its divisors is an integer number (93942008160).

Almost surely, 2^{50876312572800} is an apocalyptic number.

50876312572800 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 50876312572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108221193400320).

50876312572800 is an abundant number, since it is smaller than the sum of its proper divisors (165566074227840).

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

50876312572800 is a wasteful number, since it uses less digits than its factorization.

50876312572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 50876312572800 in words is "fifty trillion, eight hundred seventy-six billion, three hundred twelve million, five hundred seventy-two thousand, eight hundred".