8160581520 has 720 divisors, whose sum is σ = 35658342720. Its totient is φ = 1719180288.

The previous prime is 8160581479. The next prime is 8160581531. The reversal of 8160581520 is 251850618.

8160581520 is a `hidden beast` number, since 81 + 6 + 0 + 58 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12382951 + ... + 12383609.

It is an arithmetic number, because the mean of its divisors is an integer number (49525476).

Almost surely, 2^8160581520 is an apocalyptic number.

8160581520 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 8160581520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829171360).

8160581520 is an abundant number, since it is smaller than the sum of its proper divisors (27497761200).

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

8160581520 is a wasteful number, since it uses less digits than its factorization.

8160581520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 8160581520 is about 90335.9370350471. The cubic root of 8160581520 is about 2013.2932424318.

The spelling of 8160581520 in words is "eight billion, one hundred sixty million, five hundred eighty-one thousand, five hundred twenty".