10072657031664 has 20 divisors (see below), whose sum is σ = 26021030665256. Its totient is φ = 3357552343872.

The previous prime is 10072657031663. The next prime is 10072657031711. The reversal of 10072657031664 is 46613075627001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 209847021493 = 10072657031664 / (1 + 0 + 0 + 7 + 2 + 6 + 5 + 7 + 0 + 3 + 1 + 6 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072657031663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104923510699 + ... + 104923510794.

Almost surely, 2^{10072657031664} is an apocalyptic number.

It is an amenable number.

10072657031664 is an abundant number, since it is smaller than the sum of its proper divisors (15948373633592).

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

10072657031664 is a wasteful number, since it uses less digits than its factorization.

10072657031664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209847021504 (or 209847021498 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 10072657031664 in words is "ten trillion, seventy-two billion, six hundred fifty-seven million, thirty-one thousand, six hundred sixty-four".