86917795200 has 1344 divisors, whose sum is σ = 354592371600. Its totient is φ = 20961607680.

The previous prime is 86917795193. The next prime is 86917795207. The reversal of 86917795200 is 259771968.

It is an interprime number because it is at equal distance from previous prime (86917795193) and next prime (86917795207).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86917795207) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1639958374 + ... + 1639958426.

Almost surely, 2^86917795200 is an apocalyptic number.

86917795200 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 86917795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177296185800).

86917795200 is an abundant number, since it is smaller than the sum of its proper divisors (267674576400).

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

86917795200 is a wasteful number, since it uses less digits than its factorization.

86917795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 86917795200 in words is "eighty-six billion, nine hundred seventeen million, seven hundred ninety-five thousand, two hundred".