86628000080 has 20 divisors (see below), whose sum is σ = 201410100372. Its totient is φ = 34651200000.

The previous prime is 86628000073. The next prime is 86628000163. The reversal of 86628000080 is 8000082668.

It can be written as a sum of positive squares in 2 ways, for example, as 63379069504 + 23248930576 = 251752^2 + 152476^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86627999998 and 86628000043.

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, 541424921 + ... + 541425080.

Almost surely, 2^86628000080 is an apocalyptic number.

86628000080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86628000080 is an abundant number, since it is smaller than the sum of its proper divisors (114782100292).

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

86628000080 is a wasteful number, since it uses less digits than its factorization.

86628000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082850014 (or 1082850008 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 86628000080 in words is "eighty-six billion, six hundred twenty-eight million, eighty", and thus it is an aban number.