13500925468800 has 2304 divisors, whose sum is σ = 61690897244160. Its totient is φ = 2554675200000.

The previous prime is 13500925468781. The next prime is 13500925468843. The reversal of 13500925468800 is 886452900531.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2726906325 + ... + 2726911275.

It is an arithmetic number, because the mean of its divisors is an integer number (26775563040).

Almost surely, 2^{13500925468800} is an apocalyptic number.

13500925468800 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 13500925468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30845448622080).

13500925468800 is an abundant number, since it is smaller than the sum of its proper divisors (48189971775360).

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

13500925468800 is a wasteful number, since it uses less digits than its factorization.

13500925468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 13500925468800 in words is "thirteen trillion, five hundred billion, nine hundred twenty-five million, four hundred sixty-eight thousand, eight hundred".