86697878400 has 1152 divisors, whose sum is σ = 384101040960. Its totient is φ = 18166579200.

The previous prime is 86697878387. The next prime is 86697878459. The reversal of 86697878400 is 487879668.

86697878400 is a `hidden beast` number, since 8 + 66 + 97 + 87 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×86697878400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 140514892 + ... + 140515508.

Almost surely, 2^86697878400 is an apocalyptic number.

86697878400 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 86697878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192050520480).

86697878400 is an abundant number, since it is smaller than the sum of its proper divisors (297403162560).

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

86697878400 is a wasteful number, since it uses less digits than its factorization.

86697878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 86697878400 in words is "eighty-six billion, six hundred ninety-seven million, eight hundred seventy-eight thousand, four hundred".