13753704096000 has 1080 divisors, whose sum is σ = 56258962912152. Its totient is φ = 3334155264000.

The previous prime is 13753704095947. The next prime is 13753704096017. The reversal of 13753704096000 is 69040735731.

13753704096000 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 37 + 0 + 4 + 0 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2273967489024 + 11479736606976 = 1507968^2 + 3388176^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 313610074 + ... + 313653926.

Almost surely, 2^{13753704096000} is an apocalyptic number.

13753704096000 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 13753704096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28129481456076).

13753704096000 is an abundant number, since it is smaller than the sum of its proper divisors (42505258816152).

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

13753704096000 is an equidigital number, since it uses as much as digits as its factorization.

13753704096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43918 (or 43874 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 13753704096000 in words is "thirteen trillion, seven hundred fifty-three billion, seven hundred four million, ninety-six thousand".