86318954400 has 576 divisors, whose sum is σ = 334778572800. Its totient is φ = 18902937600.

The previous prime is 86318954389. The next prime is 86318954419. The reversal of 86318954400 is 445981368.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86318954400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55724826 + ... + 55726374.

It is an arithmetic number, because the mean of its divisors is an integer number (581212800).

Almost surely, 2^86318954400 is an apocalyptic number.

86318954400 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 86318954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167389286400).

86318954400 is an abundant number, since it is smaller than the sum of its proper divisors (248459618400).

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

86318954400 is a wasteful number, since it uses less digits than its factorization.

86318954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 86318954400 in words is "eighty-six billion, three hundred eighteen million, nine hundred fifty-four thousand, four hundred".