560131891200 has 1344 divisors, whose sum is σ = 2437790400000. Its totient is φ = 123367587840.

The previous prime is 560131891177. The next prime is 560131891223. The reversal of 560131891200 is 2198131065.

560131891200 is a `hidden beast` number, since 5 + 601 + 31 + 8 + 9 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (560131891177) and next prime (560131891223).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1122508551 + ... + 1122509049.

Almost surely, 2^560131891200 is an apocalyptic number.

560131891200 is a gapful number since it is divisible by the number (50) 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 560131891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218895200000).

560131891200 is an abundant number, since it is smaller than the sum of its proper divisors (1877658508800).

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

560131891200 is a wasteful number, since it uses less digits than its factorization.

560131891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 560131891200 in words is "five hundred sixty billion, one hundred thirty-one million, eight hundred ninety-one thousand, two hundred".