86468886800 has 120 divisors (see below), whose sum is σ = 211093905792. Its totient is φ = 34030656000.

The previous prime is 86468886787. The next prime is 86468886851. The reversal of 86468886800 is 868886468.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32989490 + ... + 32992110.

Almost surely, 2^86468886800 is an apocalyptic number.

86468886800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86468886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105546952896).

86468886800 is an abundant number, since it is smaller than the sum of its proper divisors (124625018992).

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

86468886800 is a wasteful number, since it uses less digits than its factorization.

86468886800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 62.

The spelling of 86468886800 in words is "eighty-six billion, four hundred sixty-eight million, eight hundred eighty-six thousand, eight hundred".