86258617920 has 168 divisors, whose sum is σ = 296882978496. Its totient is φ = 22987625472.

The previous prime is 86258617901. The next prime is 86258617937. The reversal of 86258617920 is 2971685268.

86258617920 is a `hidden beast` number, since 8 + 625 + 8 + 6 + 1 + 7 + 9 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4953549 + ... + 4970931.

Almost surely, 2^86258617920 is an apocalyptic number.

86258617920 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 86258617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148441489248).

86258617920 is an abundant number, since it is smaller than the sum of its proper divisors (210624360576).

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

86258617920 is a wasteful number, since it uses less digits than its factorization.

86258617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19129 (or 19116 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 86258617920 in words is "eighty-six billion, two hundred fifty-eight million, six hundred seventeen thousand, nine hundred twenty".