50791135704100 has 243 divisors, whose sum is σ = 123109820687889. Its totient is φ = 18175024929600.

The previous prime is 50791135704079. The next prime is 50791135704131. The reversal of 50791135704100 is 140753119705.

The square root of 50791135704100 is 7126790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18284808853476 + 32506326850624 = 4276074^2 + 5701432^2 .

It is a super-2 number, since 2×50791135704100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52524441817 + ... + 52524442783.

Almost surely, 2^{50791135704100} is an apocalyptic number.

50791135704100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50791135704100 is the 7126790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50791135704100

50791135704100 is an abundant number, since it is smaller than the sum of its proper divisors (72318684983789).

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

50791135704100 is an equidigital number, since it uses as much as digits as its factorization.

50791135704100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 43.

The spelling of 50791135704100 in words is "fifty trillion, seven hundred ninety-one billion, one hundred thirty-five million, seven hundred four thousand, one hundred".