86958459823104 has 693 divisors, whose sum is σ = 267898169944659. Its totient is φ = 28199259648000.

The previous prime is 86958459823097. The next prime is 86958459823111. The reversal of 86958459823104 is 40132895485968.

The square root of 86958459823104 is 9325152.

It is a perfect power (a square), and thus also a powerful number.

86958459823104 is a `hidden beast` number, since 8 + 6 + 9 + 5 + 8 + 4 + 598 + 23 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (86958459823097) and next prime (86958459823111).

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 62 ways as a sum of consecutive naturals, for example, 346448046979 + ... + 346448047229.

Almost surely, 2^{86958459823104} is an apocalyptic number.

86958459823104 is the 9325152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86958459823104

86958459823104 is an abundant number, since it is smaller than the sum of its proper divisors (180939710121555).

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

86958459823104 is an frugal number, since it uses more digits than its factorization.

86958459823104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 86958459823104 in words is "eighty-six trillion, nine hundred fifty-eight billion, four hundred fifty-nine million, eight hundred twenty-three thousand, one hundred four".