71557806490400 has 288 divisors, whose sum is σ = 191311275294720. Its totient is φ = 26035261056000.

The previous prime is 71557806490271. The next prime is 71557806490421. The reversal of 71557806490400 is 409460875517.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59244515 + ... + 60440285.

It is an arithmetic number, because the mean of its divisors is an integer number (664275261440).

Almost surely, 2^{71557806490400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71557806490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95655637647360).

71557806490400 is an abundant number, since it is smaller than the sum of its proper divisors (119753468804320).

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

71557806490400 is a wasteful number, since it uses less digits than its factorization.

71557806490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195968 (or 1195955 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 71557806490400 in words is "seventy-one trillion, five hundred fifty-seven billion, eight hundred six million, four hundred ninety thousand, four hundred".