10071826470864 has 80 divisors (see below), whose sum is σ = 28925326160640. Its totient is φ = 3355480846080.

The previous prime is 10071826470799. The next prime is 10071826470911. The reversal of 10071826470864 is 46807462817001.

10071826470864 is a `hidden beast` number, since 1 + 0 + 0 + 71 + 8 + 26 + 470 + 86 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10071826470864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5422197 + ... + 7038740.

It is an arithmetic number, because the mean of its divisors is an integer number (361566577008).

Almost surely, 2^{10071826470864} is an apocalyptic number.

It is an amenable number.

10071826470864 is an abundant number, since it is smaller than the sum of its proper divisors (18853499689776).

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

10071826470864 is a wasteful number, since it uses less digits than its factorization.

10071826470864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12462825 (or 12462813 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 10071826470864 in words is "ten trillion, seventy-one billion, eight hundred twenty-six million, four hundred seventy thousand, eight hundred sixty-four".