82400126256 has 160 divisors (see below), whose sum is σ = 279628531200. Its totient is φ = 22731045120.

The previous prime is 82400126219. The next prime is 82400126329. The reversal of 82400126256 is 65262100428.

It is a happy number.

82400126256 is a `hidden beast` number, since 8 + 24 + 0 + 0 + 1 + 2 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82400126256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382110 + ... + 557501.

It is an arithmetic number, because the mean of its divisors is an integer number (1747678320).

Almost surely, 2^82400126256 is an apocalyptic number.

It is an amenable number.

82400126256 is an abundant number, since it is smaller than the sum of its proper divisors (197228404944).

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

82400126256 is a wasteful number, since it uses less digits than its factorization.

82400126256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939664 (or 939652 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 82400126256 in words is "eighty-two billion, four hundred million, one hundred twenty-six thousand, two hundred fifty-six".