86610900400 has 60 divisors (see below), whose sum is σ = 208182114232. Its totient is φ = 34627806720.

The previous prime is 86610900391. The next prime is 86610900401. The reversal of 86610900400 is 400901668.

It is not an unprimeable number, because it can be changed into a prime (86610900401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 804139 + ... + 905461.

Almost surely, 2^86610900400 is an apocalyptic number.

86610900400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86610900400 is an abundant number, since it is smaller than the sum of its proper divisors (121571213832).

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

86610900400 is a wasteful number, since it uses less digits than its factorization.

86610900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103478 (or 103467 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 86610900400 in words is "eighty-six billion, six hundred ten million, nine hundred thousand, four hundred".