560087592100 has 81 divisors (see below), whose sum is σ = 1234906529283. Its totient is φ = 220493655360.

The previous prime is 560087592079. The next prime is 560087592107. The reversal of 560087592100 is 1295780065.

The square root of 560087592100 is 748390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 240925868964 + 319161723136 = 490842^2 + 564944^2 .

It is a super-2 number, since 2×560087592100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (560087592107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 501420742 + ... + 501421858.

Almost surely, 2^560087592100 is an apocalyptic number.

560087592100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

560087592100 is the 748390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560087592100

560087592100 is an abundant number, since it is smaller than the sum of its proper divisors (674818937183).

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

560087592100 is an equidigital number, since it uses as much as digits as its factorization.

560087592100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 560087592100 in words is "five hundred sixty billion, eighty-seven million, five hundred ninety-two thousand, one hundred".