86332858400 has 36 divisors (see below), whose sum is σ = 210760092522. Its totient is φ = 34533143040.

The previous prime is 86332858379. The next prime is 86332858453. The reversal of 86332858400 is 485823368.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73330473616 + 13002384784 = 270796^2 + 114028^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53957237 + ... + 53958836.

Almost surely, 2^86332858400 is an apocalyptic number.

86332858400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86332858400 is an abundant number, since it is smaller than the sum of its proper divisors (124427234122).

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

86332858400 is a wasteful number, since it uses less digits than its factorization.

86332858400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107916093 (or 107916080 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 86332858400 in words is "eighty-six billion, three hundred thirty-two million, eight hundred fifty-eight thousand, four hundred".