13553961515136 has 384 divisors, whose sum is σ = 44773288285440. Its totient is φ = 3855353241600.

The previous prime is 13553961515119. The next prime is 13553961515167. The reversal of 13553961515136 is 63151516935531.

13553961515136 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 3 + 9 + 615 + 1 + 5 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1843821861 + ... + 1843829211.

It is an arithmetic number, because the mean of its divisors is an integer number (116597104910).

Almost surely, 2^{13553961515136} is an apocalyptic number.

13553961515136 is a gapful number since it is divisible by the number (16) 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 13553961515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22386644142720).

13553961515136 is an abundant number, since it is smaller than the sum of its proper divisors (31219326770304).

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

13553961515136 is a wasteful number, since it uses less digits than its factorization.

13553961515136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364 (or 8349 counting only the distinct ones).

The product of its digits is 5467500, while the sum is 54.

The spelling of 13553961515136 in words is "thirteen trillion, five hundred fifty-three billion, nine hundred sixty-one million, five hundred fifteen thousand, one hundred thirty-six".