86088280664000 has 112 divisors (see below), whose sum is σ = 214609534890816. Its totient is φ = 34207263360000.

The previous prime is 86088280663997. The next prime is 86088280664011. The reversal of 86088280664000 is 46608288068.

It is a super-2 number, since 2×86088280664000² (a number of 29 digits) contains 22 as substring.

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, 34424567 + ... + 36840566.

Almost surely, 2^{86088280664000} is an apocalyptic number.

86088280664000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86088280664000 is an abundant number, since it is smaller than the sum of its proper divisors (128521254226816).

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

86088280664000 is a wasteful number, since it uses less digits than its factorization.

86088280664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71265311 (or 71265291 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 56.

The spelling of 86088280664000 in words is "eighty-six trillion, eighty-eight billion, two hundred eighty million, six hundred sixty-four thousand".