13595749440000 has 1600 divisors, whose sum is σ = 58644139868160. Its totient is φ = 2717245440000.

The previous prime is 13595749439989. The next prime is 13595749440029. The reversal of 13595749440000 is 4494759531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1600).

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, 1659835905 + ... + 1659844095.

Almost surely, 2^{13595749440000} is an apocalyptic number.

13595749440000 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 13595749440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29322069934080).

13595749440000 is an abundant number, since it is smaller than the sum of its proper divisors (45048390428160).

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

13595749440000 is an equidigital number, since it uses as much as digits as its factorization.

13595749440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 13595749440000 in words is "thirteen trillion, five hundred ninety-five billion, seven hundred forty-nine million, four hundred forty thousand".