86089845600 has 864 divisors, whose sum is σ = 347233775616. Its totient is φ = 20640614400.

The previous prime is 86089845587. The next prime is 86089845631. The reversal of 86089845600 is 654898068.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×86089845600² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 271576642 + ... + 271576958.

It is an arithmetic number, because the mean of its divisors is an integer number (401890944).

Almost surely, 2^86089845600 is an apocalyptic number.

86089845600 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 86089845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173616887808).

86089845600 is an abundant number, since it is smaller than the sum of its proper divisors (261143930016).

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

86089845600 is a wasteful number, since it uses less digits than its factorization.

86089845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 86089845600 in words is "eighty-six billion, eighty-nine million, eight hundred forty-five thousand, six hundred".