560320517100 has 144 divisors (see below), whose sum is σ = 1665073428480. Its totient is φ = 145400505600.

The previous prime is 560320517041. The next prime is 560320517149. The reversal of 560320517100 is 1715023065.

560320517100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×560320517100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3389365 + ... + 3550835.

It is an arithmetic number, because the mean of its divisors is an integer number (11563009920).

Almost surely, 2^560320517100 is an apocalyptic number.

560320517100 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 560320517100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832536714240).

560320517100 is an abundant number, since it is smaller than the sum of its proper divisors (1104752911380).

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

560320517100 is a wasteful number, since it uses less digits than its factorization.

560320517100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161800 (or 161793 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 560320517100 in words is "five hundred sixty billion, three hundred twenty million, five hundred seventeen thousand, one hundred".