86695358400 has 1344 divisors, whose sum is σ = 387022848000. Its totient is φ = 18438451200.

The previous prime is 86695358311. The next prime is 86695358411. The reversal of 86695358400 is 485359668.

It is a happy number.

86695358400 is a `hidden beast` number, since 8 + 6 + 6 + 9 + 53 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 453902305 + ... + 453902495.

Almost surely, 2^86695358400 is an apocalyptic number.

86695358400 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 86695358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193511424000).

86695358400 is an abundant number, since it is smaller than the sum of its proper divisors (300327489600).

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

86695358400 is a wasteful number, since it uses less digits than its factorization.

86695358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 86695358400 in words is "eighty-six billion, six hundred ninety-five million, three hundred fifty-eight thousand, four hundred".