13254655795200 has 1344 divisors, whose sum is σ = 51427626278400. Its totient is φ = 3340055347200.

The previous prime is 13254655795181. The next prime is 13254655795247. The reversal of 13254655795200 is 259755645231.

13254655795200 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 65 + 57 + 9 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11319090615 + ... + 11319091785.

Almost surely, 2^{13254655795200} is an apocalyptic number.

13254655795200 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 13254655795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25713813139200).

13254655795200 is an abundant number, since it is smaller than the sum of its proper divisors (38172970483200).

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

13254655795200 is a wasteful number, since it uses less digits than its factorization.

13254655795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 13254655795200 in words is "thirteen trillion, two hundred fifty-four billion, six hundred fifty-five million, seven hundred ninety-five thousand, two hundred".