560012124672 has 960 divisors, whose sum is σ = 2186044084224. Its totient is φ = 133281054720.

The previous prime is 560012124649. The next prime is 560012124691. The reversal of 560012124672 is 276421210065.

It is a happy number.

560012124672 is a `hidden beast` number, since 5 + 600 + 1 + 2 + 1 + 2 + 46 + 7 + 2 = 666.

It is a super-2 number, since 2×560012124672² (a number of 24 digits) contains 22 as substring.

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

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, 770305173 + ... + 770305899.

Almost surely, 2^560012124672 is an apocalyptic number.

560012124672 is a gapful number since it is divisible by the number (52) 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 560012124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093022042112).

560012124672 is an abundant number, since it is smaller than the sum of its proper divisors (1626031959552).

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

560012124672 is a wasteful number, since it uses less digits than its factorization.

560012124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 560012124672 in words is "five hundred sixty billion, twelve million, one hundred twenty-four thousand, six hundred seventy-two".