13837679365320 has 240 divisors, whose sum is σ = 48058708026780. Its totient is φ = 3571013226240.

The previous prime is 13837679365319. The next prime is 13837679365331. The reversal of 13837679365320 is 2356397673831.

13837679365320 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 7 + 6 + 7 + 93 + 6 + 532 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13690725209604 + 146954155716 = 3700098^2 + 383346^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 891534 + ... + 5335746.

Almost surely, 2^{13837679365320} is an apocalyptic number.

13837679365320 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 13837679365320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24029354013390).

13837679365320 is an abundant number, since it is smaller than the sum of its proper divisors (34221028661460).

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

13837679365320 is a wasteful number, since it uses less digits than its factorization.

13837679365320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444298 (or 4444254 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 13837679365320 in words is "thirteen trillion, eight hundred thirty-seven billion, six hundred seventy-nine million, three hundred sixty-five thousand, three hundred twenty".