86326672000 has 64 divisors (see below), whose sum is σ = 214629728040. Its totient is φ = 34530662400.

The previous prime is 86326671973. The next prime is 86326672001. The reversal of 86326672000 is 27662368.

It can be written as a sum of positive squares in 4 ways, for example, as 13827878464 + 72498793536 = 117592^2 + 269256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (86326672001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2681709 + ... + 2713708.

Almost surely, 2^86326672000 is an apocalyptic number.

86326672000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86326672000 is an abundant number, since it is smaller than the sum of its proper divisors (128303056040).

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

86326672000 is an equidigital number, since it uses as much as digits as its factorization.

86326672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395446 (or 5395424 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 86326672000 in words is "eighty-six billion, three hundred twenty-six million, six hundred seventy-two thousand".