560101792987800 has 3072 divisors, whose sum is σ = 2542013300736000. Its totient is φ = 110236557312000.

The previous prime is 560101792987799. The next prime is 560101792987859. The reversal of 560101792987800 is 8789297101065.

560101792987800 is a `hidden beast` number, since 5 + 601 + 0 + 17 + 9 + 2 + 9 + 8 + 7 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 222174450540 + ... + 222174453060.

It is an arithmetic number, because the mean of its divisors is an integer number (827478288000).

Almost surely, 2^{560101792987800} is an apocalyptic number.

560101792987800 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 560101792987800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271006650368000).

560101792987800 is an abundant number, since it is smaller than the sum of its proper divisors (1981911507748200).

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

560101792987800 is a wasteful number, since it uses less digits than its factorization.

560101792987800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 560101792987800 in words is "five hundred sixty trillion, one hundred one billion, seven hundred ninety-two million, nine hundred eighty-seven thousand, eight hundred".