86258574604800 has 1920 divisors, whose sum is σ = 363482735616000. Its totient is φ = 19859182387200.

The previous prime is 86258574604799. The next prime is 86258574604841. The reversal of 86258574604800 is 840647585268.

86258574604800 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 85 + 74 + 6 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 6743686405 + ... + 6743699195.

It is an arithmetic number, because the mean of its divisors is an integer number (189313924800).

Almost surely, 2^{86258574604800} is an apocalyptic number.

86258574604800 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 86258574604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181741367808000).

86258574604800 is an abundant number, since it is smaller than the sum of its proper divisors (277224161011200).

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

86258574604800 is a wasteful number, since it uses less digits than its factorization.

86258574604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12939 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 86258574604800 in words is "eighty-six trillion, two hundred fifty-eight billion, five hundred seventy-four million, six hundred four thousand, eight hundred".