13795368837120 has 560 divisors, whose sum is σ = 53260402318200. Its totient is φ = 3395772481536.

The previous prime is 13795368837109. The next prime is 13795368837137. The reversal of 13795368837120 is 2173886359731.

13795368837120 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 536 + 8 + 8 + 3 + 71 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4437055770624 + 9358313066496 = 2106432^2 + 3059136^2 .

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 39 ways as a sum of consecutive naturals, for example, 42970956 + ... + 43290804.

Almost surely, 2^{13795368837120} is an apocalyptic number.

13795368837120 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 13795368837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26630201159100).

13795368837120 is an abundant number, since it is smaller than the sum of its proper divisors (39465033481080).

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

13795368837120 is an equidigital number, since it uses as much as digits as its factorization.

13795368837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319905 (or 319872 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 13795368837120 in words is "thirteen trillion, seven hundred ninety-five billion, three hundred sixty-eight million, eight hundred thirty-seven thousand, one hundred twenty".