86492885976 has 192 divisors, whose sum is σ = 277188986880. Its totient is φ = 23842667520.

The previous prime is 86492885953. The next prime is 86492886013. The reversal of 86492885976 is 67958829468.

86492885976 is a `hidden beast` number, since 8 + 6 + 4 + 9 + 28 + 8 + 597 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5257075 + ... + 5273501.

It is an arithmetic number, because the mean of its divisors is an integer number (1443692640).

Almost surely, 2^86492885976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86492885976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138594493440).

86492885976 is an abundant number, since it is smaller than the sum of its proper divisors (190696100904).

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

86492885976 is a wasteful number, since it uses less digits than its factorization.

86492885976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16814 (or 16807 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 86492885976 in words is "eighty-six billion, four hundred ninety-two million, eight hundred eighty-five thousand, nine hundred seventy-six".