13153558118400 has 3780 divisors, whose sum is σ = 60752565961920. Its totient is φ = 2809213747200.

The previous prime is 13153558118381. The next prime is 13153558118417. The reversal of 13153558118400 is 481185535131.

13153558118400 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 558 + 11 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

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

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 251 ways as a sum of consecutive naturals, for example, 424308326385 + ... + 424308326415.

Almost surely, 2^{13153558118400} is an apocalyptic number.

13153558118400 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 13153558118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30376282980960).

13153558118400 is an abundant number, since it is smaller than the sum of its proper divisors (47599007843520).

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

13153558118400 is an frugal number, since it uses more digits than its factorization.

13153558118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 13153558118400 in words is "thirteen trillion, one hundred fifty-three billion, five hundred fifty-eight million, one hundred eighteen thousand, four hundred".