50005904400 has 135 divisors (see below), whose sum is σ = 173580952701. Its totient is φ = 13331329920.

The previous prime is 50005904383. The next prime is 50005904419. The reversal of 50005904400 is 440950005.

The square root of 50005904400 is 223620.

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., 18002125584 + 32003778816 = 134172^2 + 178896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13415337 + ... + 13419063.

Almost surely, 2^50005904400 is an apocalyptic number.

50005904400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50005904400 is the 223620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50005904400

50005904400 is an abundant number, since it is smaller than the sum of its proper divisors (123575048301).

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

50005904400 is an equidigital number, since it uses as much as digits as its factorization.

50005904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 50005904400 by its product of nonzero digits (3600), we get a square (180021255840000 = 13417200²).

50005904400 divided by its product of nonzero digits (3600) gives a square (13890529 = 3727²).

The spelling of 50005904400 in words is "fifty billion, five million, nine hundred four thousand, four hundred".