86456211904 has 112 divisors (see below), whose sum is σ = 175771657600. Its totient is φ = 42185235456.

The previous prime is 86456211899. The next prime is 86456211929. The reversal of 86456211904 is 40911265468.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158054959 + ... + 158055505.

It is an arithmetic number, because the mean of its divisors is an integer number (1569389800).

Almost surely, 2^86456211904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86456211904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87885828800).

86456211904 is an abundant number, since it is smaller than the sum of its proper divisors (89315445696).

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

86456211904 is a wasteful number, since it uses less digits than its factorization.

86456211904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 86456211904 in words is "eighty-six billion, four hundred fifty-six million, two hundred eleven thousand, nine hundred four".