86958991521 has 24 divisors (see below), whose sum is σ = 125828664000. Its totient is φ = 57870644832.

The previous prime is 86958991501. The next prime is 86958991577. The reversal of 86958991521 is 12519985968.

It is not a de Polignac number, because 86958991521 - 2¹⁷ = 86958860449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86958991501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25657495 + ... + 25660883.

It is an arithmetic number, because the mean of its divisors is an integer number (5242861000).

Almost surely, 2^86958991521 is an apocalyptic number.

It is an amenable number.

86958991521 is a deficient number, since it is larger than the sum of its proper divisors (38869672479).

86958991521 is a wasteful number, since it uses less digits than its factorization.

86958991521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573 (or 7570 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 63.

The spelling of 86958991521 in words is "eighty-six billion, nine hundred fifty-eight million, nine hundred ninety-one thousand, five hundred twenty-one".