13759374720000 has 1760 divisors, whose sum is σ = 57372145836544. Its totient is φ = 2853273600000.

The previous prime is 13759374719921. The next prime is 13759374720019. The reversal of 13759374720000 is 2747395731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10657919355 + ... + 10657920645.

Almost surely, 2^{13759374720000} is an apocalyptic number.

13759374720000 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 13759374720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28686072918272).

13759374720000 is an abundant number, since it is smaller than the sum of its proper divisors (43612771116544).

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

13759374720000 is a wasteful number, since it uses less digits than its factorization.

13759374720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The spelling of 13759374720000 in words is "thirteen trillion, seven hundred fifty-nine billion, three hundred seventy-four million, seven hundred twenty thousand".