86980952623680 has 280 divisors, whose sum is σ = 320075744856120. Its totient is φ = 22395095654400.

The previous prime is 86980952623633. The next prime is 86980952623681. The reversal of 86980952623680 is 8632625908968.

86980952623680 is a `hidden beast` number, since 8 + 6 + 98 + 0 + 9 + 526 + 2 + 3 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22492800576 + 86958459823104 = 149976^2 + 9325152^2 .

It is a super-2 number, since 2×86980952623680² (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 a junction number, because it is equal to n+sod(n) for n = 86980952623599 and 86980952623608.

It is not an unprimeable number, because it can be changed into a prime (86980952623681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57106021 + ... + 58609380.

Almost surely, 2^{86980952623680} is an apocalyptic number.

86980952623680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86980952623680 is an abundant number, since it is smaller than the sum of its proper divisors (233094792232440).

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

86980952623680 is a wasteful number, since it uses less digits than its factorization.

86980952623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115715459 (or 115715440 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 86980952623680 in words is "eighty-six trillion, nine hundred eighty billion, nine hundred fifty-two million, six hundred twenty-three thousand, six hundred eighty".