86956893204624 has 135 divisors (see below), whose sum is σ = 247571955584499. Its totient is φ = 28492185769920.

The previous prime is 86956893204539. The next prime is 86956893204647. The reversal of 86956893204624 is 42640239865968.

The square root of 86956893204624 is 9325068.

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

86956893204624 is a `hidden beast` number, since 8 + 6 + 9 + 56 + 8 + 93 + 20 + 462 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6602141559 + ... + 6602154729.

Almost surely, 2^{86956893204624} is an apocalyptic number.

86956893204624 is the 9325068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86956893204624

86956893204624 is an abundant number, since it is smaller than the sum of its proper divisors (160615062379875).

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

86956893204624 is an frugal number, since it uses more digits than its factorization.

86956893204624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26474 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 86956893204624 in words is "eighty-six trillion, nine hundred fifty-six billion, eight hundred ninety-three million, two hundred four thousand, six hundred twenty-four".