86452560000 has 480 divisors, whose sum is σ = 313167254400. Its totient is φ = 22884096000.

The previous prime is 86452559983. The next prime is 86452560023. The reversal of 86452560000 is 6525468.

86452560000 is a `hidden beast` number, since 8 + 6 + 45 + 2 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 120239641 + ... + 120240359.

It is an arithmetic number, because the mean of its divisors is an integer number (652431780).

Almost surely, 2^86452560000 is an apocalyptic number.

86452560000 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 86452560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156583627200).

86452560000 is an abundant number, since it is smaller than the sum of its proper divisors (226714694400).

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

86452560000 is a wasteful number, since it uses less digits than its factorization.

86452560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 86452560000 in words is "eighty-six billion, four hundred fifty-two million, five hundred sixty thousand".