86507520000 has 460 divisors, whose sum is σ = 314472099216. Its totient is φ = 20971520000.

The previous prime is 86507519971. The next prime is 86507520007. The reversal of 86507520000 is 2570568.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (86507520007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7864319995 + ... + 7864320005.

Almost surely, 2^86507520000 is an apocalyptic number.

86507520000 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 86507520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157236049608).

86507520000 is an abundant number, since it is smaller than the sum of its proper divisors (227964579216).

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

86507520000 is an frugal number, since it uses more digits than its factorization.

86507520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Multiplying 86507520000 by its sum of digits (33), we get a square (2854748160000 = 1689600²).

86507520000 divided by its sum of digits (33) gives a square (2621440000 = 51200²).

The spelling of 86507520000 in words is "eighty-six billion, five hundred seven million, five hundred twenty thousand".