8131561320960 has 2880 divisors, whose sum is σ = 37633378273920. Its totient is φ = 1602292285440.

The previous prime is 8131561320881. The next prime is 8131561321033. The reversal of 8131561320960 is 690231651318.

8131561320960 is a `hidden beast` number, since 8 + 1 + 3 + 1 + 5 + 613 + 20 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×8131561320960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24129261912 + ... + 24129262248.

It is an arithmetic number, because the mean of its divisors is an integer number (13067145234).

Almost surely, 2^{8131561320960} is an apocalyptic number.

8131561320960 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 8131561320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816689136960).

8131561320960 is an abundant number, since it is smaller than the sum of its proper divisors (29501816952960).

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

8131561320960 is a wasteful number, since it uses less digits than its factorization.

8131561320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 8131561320960 in words is "eight trillion, one hundred thirty-one billion, five hundred sixty-one million, three hundred twenty thousand, nine hundred sixty".