8059920960 has 672 divisors, whose sum is σ = 32556736512. Its totient is φ = 1653350400.

The previous prime is 8059920959. The next prime is 8059920971. The reversal of 8059920960 is 690299508.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53376885 + ... + 53377035.

Almost surely, 2^8059920960 is an apocalyptic number.

8059920960 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 8059920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278368256).

8059920960 is an abundant number, since it is smaller than the sum of its proper divisors (24496815552).

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

8059920960 is a wasteful number, since it uses less digits than its factorization.

8059920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 8059920960 is about 89777.0625494062. The cubic root of 8059920960 is about 2004.9809978651.

The spelling of 8059920960 in words is "eight billion, fifty-nine million, nine hundred twenty thousand, nine hundred sixty".