86655630600 has 960 divisors, whose sum is σ = 378878607360. Its totient is φ = 17831923200.

The previous prime is 86655630583. The next prime is 86655630623. The reversal of 86655630600 is 603655668.

86655630600 is a `hidden beast` number, since 8 + 6 + 6 + 5 + 5 + 6 + 30 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 158419527 + ... + 158420073.

It is an arithmetic number, because the mean of its divisors is an integer number (394665216).

Almost surely, 2^86655630600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86655630600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189439303680).

86655630600 is an abundant number, since it is smaller than the sum of its proper divisors (292222976760).

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

86655630600 is a wasteful number, since it uses less digits than its factorization.

86655630600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 86655630600 in words is "eighty-six billion, six hundred fifty-five million, six hundred thirty thousand, six hundred".