86977229894592 has 224 divisors, whose sum is σ = 232803313920000. Its totient is φ = 28657449418752.

The previous prime is 86977229894551. The next prime is 86977229894629. The reversal of 86977229894592 is 29549892277968.

It is a junction number, because it is equal to n+sod(n) for n = 86977229894499 and 86977229894508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9829041784 + ... + 9829050632.

Almost surely, 2^{86977229894592} 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 86977229894592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116401656960000).

86977229894592 is an abundant number, since it is smaller than the sum of its proper divisors (145826084025408).

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

86977229894592 is a wasteful number, since it uses less digits than its factorization.

86977229894592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10723 (or 10713 counting only the distinct ones).

The product of its digits is 19752284160, while the sum is 87.

The spelling of 86977229894592 in words is "eighty-six trillion, nine hundred seventy-seven billion, two hundred twenty-nine million, eight hundred ninety-four thousand, five hundred ninety-two".