18525560002560 has 3456 divisors, whose sum is σ = 79322678023680. Its totient is φ = 3974941900800.

The previous prime is 18525560002541. The next prime is 18525560002619. The reversal of 18525560002560 is 6520006552581.

18525560002560 is a `hidden beast` number, since 1 + 8 + 5 + 2 + 5 + 560 + 0 + 0 + 25 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 303697704930 + ... + 303697704990.

It is an arithmetic number, because the mean of its divisors is an integer number (22952163780).

Almost surely, 2^{18525560002560} is an apocalyptic number.

18525560002560 is a gapful number since it is divisible by the number (10) 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 18525560002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39661339011840).

18525560002560 is an abundant number, since it is smaller than the sum of its proper divisors (60797118021120).

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

18525560002560 is a wasteful number, since it uses less digits than its factorization.

18525560002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 18525560002560 in words is "eighteen trillion, five hundred twenty-five billion, five hundred sixty million, two thousand, five hundred sixty".