86916507300 has 864 divisors, whose sum is σ = 340682194944. Its totient is φ = 18802368000.

The previous prime is 86916507229. The next prime is 86916507311. The reversal of 86916507300 is 370561968.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 279474145 + ... + 279474455.

It is an arithmetic number, because the mean of its divisors is an integer number (394308096).

Almost surely, 2^86916507300 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 86916507300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170341097472).

86916507300 is an abundant number, since it is smaller than the sum of its proper divisors (253765687644).

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

86916507300 is a wasteful number, since it uses less digits than its factorization.

86916507300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 86916507300 in words is "eighty-six billion, nine hundred sixteen million, five hundred seven thousand, three hundred".