13611220560 has 400 divisors, whose sum is σ = 54580470912. Its totient is φ = 3079296000.

The previous prime is 13611220541. The next prime is 13611220573. The reversal of 13611220560 is 6502211631.

13611220560 is a `hidden beast` number, since 13 + 61 + 12 + 20 + 560 = 666.

13611220560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4579875 + ... + 4582845.

Almost surely, 2^13611220560 is an apocalyptic number.

13611220560 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 13611220560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27290235456).

13611220560 is an abundant number, since it is smaller than the sum of its proper divisors (40969250352).

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

13611220560 is a wasteful number, since it uses less digits than its factorization.

13611220560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13611220560 in words is "thirteen billion, six hundred eleven million, two hundred twenty thousand, five hundred sixty".