13655082121560 has 240 divisors, whose sum is σ = 50447943730800. Its totient is φ = 3310322843520.

The previous prime is 13655082121523. The next prime is 13655082121579. The reversal of 13655082121560 is 6512128055631.

13655082121560 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 5 + 0 + 82 + 1 + 2 + 1 + 560 = 666.

It is a super-2 number, since 2×13655082121560² (a number of 27 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 17023380 + ... + 17807459.

It is an arithmetic number, because the mean of its divisors is an integer number (210199765545).

Almost surely, 2^{13655082121560} is an apocalyptic number.

13655082121560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13655082121560 is an abundant number, since it is smaller than the sum of its proper divisors (36792861609240).

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

13655082121560 is a wasteful number, since it uses less digits than its factorization.

13655082121560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34830884 (or 34830860 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 13655082121560 in words is "thirteen trillion, six hundred fifty-five billion, eighty-two million, one hundred twenty-one thousand, five hundred sixty".