251645612040 has 96 divisors (see below), whose sum is σ = 818974054080. Its totient is φ = 67013122176.

The previous prime is 251645612039. The next prime is 251645612063. The reversal of 251645612040 is 40216546152.

251645612040 is a `hidden beast` number, since 2 + 5 + 1 + 645 + 6 + 1 + 2 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 251645611986 and 251645612004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219034 + ... + 742473.

It is an arithmetic number, because the mean of its divisors is an integer number (8530979730).

Almost surely, 2^251645612040 is an apocalyptic number.

251645612040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251645612040 is an abundant number, since it is smaller than the sum of its proper divisors (567328442040).

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

251645612040 is a wasteful number, since it uses less digits than its factorization.

251645612040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962251 (or 962244 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 251645612040 in words is "two hundred fifty-one billion, six hundred forty-five million, six hundred twelve thousand, forty".