560026972800 has 144 divisors (see below), whose sum is σ = 1998304681230. Its totient is φ = 149340518400.

The previous prime is 560026972721. The next prime is 560026972811. The reversal of 560026972800 is 8279620065.

560026972800 is a `hidden beast` number, since 560 + 0 + 2 + 6 + 9 + 7 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 526344446016 + 33682526784 = 725496^2 + 183528^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9693891 + ... + 9751490.

Almost surely, 2^560026972800 is an apocalyptic number.

560026972800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

560026972800 is an abundant number, since it is smaller than the sum of its proper divisors (1438277708430).

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

560026972800 is a wasteful number, since it uses less digits than its factorization.

560026972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19445411 (or 19445391 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 560026972800 in words is "five hundred sixty billion, twenty-six million, nine hundred seventy-two thousand, eight hundred".