13749022425600 has 4320 divisors, whose sum is σ = 66324517459200. Its totient is φ = 2788311859200.

The previous prime is 13749022425599. The next prime is 13749022425613. The reversal of 13749022425600 is 652422094731.

13749022425600 is a `hidden beast` number, since 1 + 3 + 7 + 49 + 0 + 2 + 2 + 42 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 98913830331 + ... + 98913830469.

It is an arithmetic number, because the mean of its divisors is an integer number (15352897560).

Almost surely, 2^{13749022425600} is an apocalyptic number.

13749022425600 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 13749022425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162258729600).

13749022425600 is an abundant number, since it is smaller than the sum of its proper divisors (52575495033600).

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

13749022425600 is a wasteful number, since it uses less digits than its factorization.

13749022425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 226 counting only the distinct ones).

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

The spelling of 13749022425600 in words is "thirteen trillion, seven hundred forty-nine billion, twenty-two million, four hundred twenty-five thousand, six hundred".