31356864078400 has 315 divisors, whose sum is σ = 90043225058859. Its totient is φ = 10747161815040.

The previous prime is 31356864078389. The next prime is 31356864078413. The reversal of 31356864078400 is 487046865313.

The square root of 31356864078400 is 5599720.

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 39499177536 + 31317364900864 = 198744^2 + 5596192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10975449772 + ... + 10975452628.

Almost surely, 2^{31356864078400} is an apocalyptic number.

31356864078400 is the 5599720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31356864078400

31356864078400 is an abundant number, since it is smaller than the sum of its proper divisors (58686360980459).

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

31356864078400 is an frugal number, since it uses more digits than its factorization.

31356864078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 31356864078400 in words is "thirty-one trillion, three hundred fifty-six billion, eight hundred sixty-four million, seventy-eight thousand, four hundred".