86686870878720 has 1280 divisors, whose sum is σ = 354871229644800. Its totient is φ = 19648013598720.

The previous prime is 86686870878709. The next prime is 86686870878763. The reversal of 86686870878720 is 2787807868668.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×86686870878720² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86686870878720.

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, 30026625117 + ... + 30026628003.

It is an arithmetic number, because the mean of its divisors is an integer number (277243148160).

Almost surely, 2^{86686870878720} is an apocalyptic number.

86686870878720 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 86686870878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177435614822400).

86686870878720 is an abundant number, since it is smaller than the sum of its proper divisors (268184358766080).

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

86686870878720 is a wasteful number, since it uses less digits than its factorization.

86686870878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 4855431168, while the sum is 81.

The spelling of 86686870878720 in words is "eighty-six trillion, six hundred eighty-six billion, eight hundred seventy million, eight hundred seventy-eight thousand, seven hundred twenty".