86848874956800 has 4032 divisors, whose sum is σ = 389852246609280. Its totient is φ = 18919194624000.

The previous prime is 86848874956799. The next prime is 86848874956807. The reversal of 86848874956800 is 865947884868.

86848874956800 is a `hidden beast` number, since 8 + 6 + 8 + 4 + 8 + 8 + 7 + 49 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 86848874956800.

It is not an unprimeable number, because it can be changed into a prime (86848874956807) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 160533964530 + ... + 160533965070.

It is an arithmetic number, because the mean of its divisors is an integer number (96689545290).

Almost surely, 2^{86848874956800} is an apocalyptic number.

86848874956800 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 86848874956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194926123304640).

86848874956800 is an abundant number, since it is smaller than the sum of its proper divisors (303003371652480).

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

86848874956800 is a wasteful number, since it uses less digits than its factorization.

86848874956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 5945425920, while the sum is 81.

The spelling of 86848874956800 in words is "eighty-six trillion, eight hundred forty-eight billion, eight hundred seventy-four million, nine hundred fifty-six thousand, eight hundred".