86361292800 has 900 divisors, whose sum is σ = 339228886920. Its totient is φ = 21658337280.

The previous prime is 86361292783. The next prime is 86361292811. The reversal of 86361292800 is 829216368.

86361292800 is a `hidden beast` number, since 8 + 6 + 3 + 612 + 9 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 630374332 + ... + 630374468.

Almost surely, 2^86361292800 is an apocalyptic number.

86361292800 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 86361292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169614443460).

86361292800 is an abundant number, since it is smaller than the sum of its proper divisors (252867594120).

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

86361292800 is a wasteful number, since it uses less digits than its factorization.

86361292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 86361292800 in words is "eighty-six billion, three hundred sixty-one million, two hundred ninety-two thousand, eight hundred".