8158392859680 has 576 divisors, whose sum is σ = 32139188460288. Its totient is φ = 1845962219520.

The previous prime is 8158392859679. The next prime is 8158392859693. The reversal of 8158392859680 is 869582938518.

8158392859680 is a `hidden beast` number, since 8 + 1 + 5 + 8 + 3 + 9 + 28 + 596 + 8 + 0 = 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 = 8158392859599 and 8158392859608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2309195194 + ... + 2309198726.

It is an arithmetic number, because the mean of its divisors is an integer number (55797202188).

Almost surely, 2^{8158392859680} is an apocalyptic number.

8158392859680 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 8158392859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069594230144).

8158392859680 is an abundant number, since it is smaller than the sum of its proper divisors (23980795600608).

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

8158392859680 is a wasteful number, since it uses less digits than its factorization.

8158392859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 8158392859680 in words is "eight trillion, one hundred fifty-eight billion, three hundred ninety-two million, eight hundred fifty-nine thousand, six hundred eighty".