86750359879680 has 3584 divisors, whose sum is σ = 387282028953600. Its totient is φ = 18203705081856.

The previous prime is 86750359879657. The next prime is 86750359879709. The reversal of 86750359879680 is 8697895305768.

86750359879680 is a `hidden beast` number, since 8 + 67 + 50 + 359 + 87 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 86750359879680.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 683073699777 + ... + 683073699903.

Almost surely, 2^{86750359879680} is an apocalyptic number.

86750359879680 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 86750359879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193641014476800).

86750359879680 is an abundant number, since it is smaller than the sum of its proper divisors (300531669073920).

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

86750359879680 is an equidigital number, since it uses as much as digits as its factorization.

86750359879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 86750359879680 in words is "eighty-six trillion, seven hundred fifty billion, three hundred fifty-nine million, eight hundred seventy-nine thousand, six hundred eighty".