86700698607744 has 1024 divisors, whose sum is σ = 289956542400000. Its totient is φ = 25319488094208.

The previous prime is 86700698607703. The next prime is 86700698607767. The reversal of 86700698607744 is 44770689600768.

It is a happy number.

86700698607744 is a `hidden beast` number, since 8 + 6 + 7 + 0 + 0 + 6 + 9 + 8 + 607 + 7 + 4 + 4 = 666.

86700698607744 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×86700698607744² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20756688984 + ... + 20756693160.

Almost surely, 2^{86700698607744} 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 86700698607744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144978271200000).

86700698607744 is an abundant number, since it is smaller than the sum of its proper divisors (203255843792256).

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

86700698607744 is a wasteful number, since it uses less digits than its factorization.

86700698607744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 86700698607744 in words is "eighty-six trillion, seven hundred billion, six hundred ninety-eight million, six hundred seven thousand, seven hundred forty-four".