50167040400 has 135 divisors (see below), whose sum is σ = 174140214339. Its totient is φ = 13374293760.

The previous prime is 50167040369. The next prime is 50167040401. The reversal of 50167040400 is 404076105.

The square root of 50167040400 is 223980.

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

It can be written as a sum of positive squares in 4 ways, for example, as 434472336 + 49732568064 = 20844^2 + 223008^2 .

It is not an unprimeable number, because it can be changed into a prime (50167040401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13436934 + ... + 13440666.

Almost surely, 2^50167040400 is an apocalyptic number.

50167040400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50167040400 is the 223980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50167040400

50167040400 is an abundant number, since it is smaller than the sum of its proper divisors (123973173939).

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

50167040400 is an equidigital number, since it uses as much as digits as its factorization.

50167040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 50167040400 in words is "fifty billion, one hundred sixty-seven million, forty thousand, four hundred".