560131006464 has 448 divisors, whose sum is σ = 1727612252160. Its totient is φ = 179159040000.

The previous prime is 560131006459. The next prime is 560131006489. The reversal of 560131006464 is 464600131065.

It is a happy number.

560131006464 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 3 + 1 + 0 + 0 + 646 + 4 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035362034 + ... + 1035362574.

Almost surely, 2^560131006464 is an apocalyptic number.

560131006464 is a gapful number since it is divisible by the number (54) 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 560131006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863806126080).

560131006464 is an abundant number, since it is smaller than the sum of its proper divisors (1167481245696).

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

560131006464 is a wasteful number, since it uses less digits than its factorization.

560131006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 560131006464 in words is "five hundred sixty billion, one hundred thirty-one million, six thousand, four hundred sixty-four".