86204957760 has 336 divisors, whose sum is σ = 314211980160. Its totient is φ = 21631795200.

The previous prime is 86204957723. The next prime is 86204957791. The reversal of 86204957760 is 6775940268.

86204957760 is a `hidden beast` number, since 8 + 6 + 2 + 0 + 4 + 9 + 577 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86204957697 and 86204957706.

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, 8257504 + ... + 8267936.

Almost surely, 2^86204957760 is an apocalyptic number.

86204957760 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 86204957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157105990080).

86204957760 is an abundant number, since it is smaller than the sum of its proper divisors (228007022400).

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

86204957760 is a wasteful number, since it uses less digits than its factorization.

86204957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10626 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 86204957760 in words is "eighty-six billion, two hundred four million, nine hundred fifty-seven thousand, seven hundred sixty".