86913031968 has 384 divisors, whose sum is σ = 304829360640. Its totient is φ = 23569367040.

The previous prime is 86913031963. The next prime is 86913031973.

86913031968 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (86913031963) and next prime (86913031973).

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

It is not an unprimeable number, because it can be changed into a prime (86913031963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9170080 + ... + 9179552.

It is an arithmetic number, because the mean of its divisors is an integer number (793826460).

Almost surely, 2^86913031968 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 86913031968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152414680320).

86913031968 is an abundant number, since it is smaller than the sum of its proper divisors (217916328672).

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

86913031968 is a wasteful number, since it uses less digits than its factorization.

86913031968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 86913031968 in words is "eighty-six billion, nine hundred thirteen million, thirty-one thousand, nine hundred sixty-eight".