86737789979568 has 480 divisors, whose sum is σ = 315080225241600. Its totient is φ = 22488168112128.

The previous prime is 86737789979537. The next prime is 86737789979641. The reversal of 86737789979568 is 86597998773768.

86737789979568 is a `hidden beast` number, since 8 + 6 + 7 + 377 + 89 + 9 + 7 + 95 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18797088 + ... + 22952256.

It is an arithmetic number, because the mean of its divisors is an integer number (656417135920).

Almost surely, 2^{86737789979568} 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 86737789979568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157540112620800).

86737789979568 is an abundant number, since it is smaller than the sum of its proper divisors (228342435262032).

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

86737789979568 is a wasteful number, since it uses less digits than its factorization.

86737789979568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155271 (or 4155253 counting only the distinct ones).

The product of its digits is 483930961920, while the sum is 99.

The spelling of 86737789979568 in words is "eighty-six trillion, seven hundred thirty-seven billion, seven hundred eighty-nine million, nine hundred seventy-nine thousand, five hundred sixty-eight".