13452676300800 has 1728 divisors, whose sum is σ = 56357137912320. Its totient is φ = 3114270720000.

The previous prime is 13452676300771. The next prime is 13452676300883. The reversal of 13452676300800 is 800367625431.

13452676300800 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 2 + 6 + 7 + 630 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22383820500 + ... + 22383821100.

It is an arithmetic number, because the mean of its divisors is an integer number (32614084440).

Almost surely, 2^{13452676300800} is an apocalyptic number.

13452676300800 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 13452676300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28178568956160).

13452676300800 is an abundant number, since it is smaller than the sum of its proper divisors (42904461611520).

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

13452676300800 is an equidigital number, since it uses as much as digits as its factorization.

13452676300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13452676300800 in words is "thirteen trillion, four hundred fifty-two billion, six hundred seventy-six million, three hundred thousand, eight hundred".