71599056400 has 135 divisors (see below), whose sum is σ = 182963059239. Its totient is φ = 26920688640.

The previous prime is 71599056377. The next prime is 71599056401. The reversal of 71599056400 is 465099517.

The square root of 71599056400 is 267580.

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 1674773776 + 69924282624 = 40924^2 + 264432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71599056401) 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, 90976807 + ... + 90977593.

Almost surely, 2^71599056400 is an apocalyptic number.

71599056400 is the 267580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71599056400

71599056400 is an abundant number, since it is smaller than the sum of its proper divisors (111364002839).

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

71599056400 is an equidigital number, since it uses as much as digits as its factorization.

71599056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 71599056400 in words is "seventy-one billion, five hundred ninety-nine million, fifty-six thousand, four hundred".