13152304396800 has 2160 divisors, whose sum is σ = 53366671918560. Its totient is φ = 3082252124160.

The previous prime is 13152304396747. The next prime is 13152304396801. The reversal of 13152304396800 is 869340325131.

13152304396800 is a `hidden beast` number, since 1 + 3 + 1 + 523 + 0 + 43 + 9 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×13152304396800² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13152304396801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 42841382247 + ... + 42841382553.

Almost surely, 2^{13152304396800} is an apocalyptic number.

13152304396800 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 13152304396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26683335959280).

13152304396800 is an abundant number, since it is smaller than the sum of its proper divisors (40214367521760).

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

13152304396800 is a wasteful number, since it uses less digits than its factorization.

13152304396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13152304396800 in words is "thirteen trillion, one hundred fifty-two billion, three hundred four million, three hundred ninety-six thousand, eight hundred".