13749093187200 has 2304 divisors, whose sum is σ = 59896006410240. Its totient is φ = 3049286860800.

The previous prime is 13749093187147. The next prime is 13749093187231. The reversal of 13749093187200 is 278139094731.

13749093187200 is a `hidden beast` number, since 1 + 37 + 4 + 90 + 9 + 318 + 7 + 200 = 666.

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

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, 57050179080 + ... + 57050179320.

It is an arithmetic number, because the mean of its divisors is an integer number (25996530560).

Almost surely, 2^{13749093187200} is an apocalyptic number.

13749093187200 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 13749093187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29948003205120).

13749093187200 is an abundant number, since it is smaller than the sum of its proper divisors (46146913223040).

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

13749093187200 is a wasteful number, since it uses less digits than its factorization.

13749093187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 13749093187200 in words is "thirteen trillion, seven hundred forty-nine billion, ninety-three million, one hundred eighty-seven thousand, two hundred".