86752866825768 has 256 divisors, whose sum is σ = 260287716003840. Its totient is φ = 23744035353600.

The previous prime is 86752866825719. The next prime is 86752866825809.

It is a happy number.

86752866825768 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636598758 + ... + 636735018.

It is an arithmetic number, because the mean of its divisors is an integer number (1016748890640).

Almost surely, 2^{86752866825768} is an apocalyptic number.

86752866825768 is a gapful number since it is divisible by the number (88) 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 86752866825768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130143858001920).

86752866825768 is an abundant number, since it is smaller than the sum of its proper divisors (173534849178072).

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

86752866825768 is a wasteful number, since it uses less digits than its factorization.

86752866825768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140288 (or 140284 counting only the distinct ones).

The product of its digits is 26011238400, while the sum is 84.

The spelling of 86752866825768 in words is "eighty-six trillion, seven hundred fifty-two billion, eight hundred sixty-six million, eight hundred twenty-five thousand, seven hundred sixty-eight".