86007040177664 has 40 divisors (see below), whose sum is σ = 171909442355640. Its totient is φ = 42987668484096.

The previous prime is 86007040177613. The next prime is 86007040177733. The reversal of 86007040177664 is 46677104070068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29569754 + ... + 32347865.

It is an arithmetic number, because the mean of its divisors is an integer number (4297736058891).

Almost surely, 2^{86007040177664} is an apocalyptic number.

It is an amenable number.

86007040177664 is a deficient number, since it is larger than the sum of its proper divisors (85902402177976).

86007040177664 is an equidigital number, since it uses as much as digits as its factorization.

86007040177664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61920350 (or 61920334 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 56.

The spelling of 86007040177664 in words is "eighty-six trillion, seven billion, forty million, one hundred seventy-seven thousand, six hundred sixty-four".