10131561208960 has 256 divisors, whose sum is σ = 24963084403200. Its totient is φ = 3930421248000.

The previous prime is 10131561208949. The next prime is 10131561208981. The reversal of 10131561208960 is 6980216513101.

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 31 ways as a sum of consecutive naturals, for example, 2902192815 + ... + 2902196305.

It is an arithmetic number, because the mean of its divisors is an integer number (97512048450).

Almost surely, 2^{10131561208960} is an apocalyptic number.

10131561208960 is a gapful number since it is divisible by the number (10) 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 10131561208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481542201600).

10131561208960 is an abundant number, since it is smaller than the sum of its proper divisors (14831523194240).

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

10131561208960 is an equidigital number, since it uses as much as digits as its factorization.

10131561208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 10131561208960 in words is "ten trillion, one hundred thirty-one billion, five hundred sixty-one million, two hundred eight thousand, nine hundred sixty".