13153125585600 has 3024 divisors, whose sum is σ = 64966922538336. Its totient is φ = 2480357376000.

The previous prime is 13153125585533. The next prime is 13153125585637. The reversal of 13153125585600 is 658552135131.

13153125585600 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 1 + 2 + 5 + 585 + 60 + 0 = 666.

13153125585600 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6154947732 + ... + 6154949868.

Almost surely, 2^{13153125585600} is an apocalyptic number.

13153125585600 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 13153125585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32483461269168).

13153125585600 is an abundant number, since it is smaller than the sum of its proper divisors (51813796952736).

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

13153125585600 is a wasteful number, since it uses less digits than its factorization.

13153125585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 13153125585600 in words is "thirteen trillion, one hundred fifty-three billion, one hundred twenty-five million, five hundred eighty-five thousand, six hundred".