86492604550968 has 320 divisors, whose sum is σ = 319804591392000. Its totient is φ = 21144104801280.

The previous prime is 86492604550909. The next prime is 86492604550973. The reversal of 86492604550968 is 86905540629468.

86492604550968 is a `hidden beast` number, since 8 + 6 + 4 + 9 + 2 + 6 + 0 + 4 + 550 + 9 + 68 = 666.

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 = 86492604550896 and 86492604550905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50135818 + ... + 51832281.

It is an arithmetic number, because the mean of its divisors is an integer number (999389348100).

Almost surely, 2^{86492604550968} is an apocalyptic number.

86492604550968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86492604550968 is an abundant number, since it is smaller than the sum of its proper divisors (233311986841032).

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

86492604550968 is a wasteful number, since it uses less digits than its factorization.

86492604550968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101968152 (or 101968139 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 86492604550968 in words is "eighty-six trillion, four hundred ninety-two billion, six hundred four million, five hundred fifty thousand, nine hundred sixty-eight".