13939788355200 has 768 divisors, whose sum is σ = 52161161472000. Its totient is φ = 3634000588800.

The previous prime is 13939788355127. The next prime is 13939788355249. The reversal of 13939788355200 is 255388793931.

13939788355200 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 9 + 78 + 8 + 3 + 552 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5242491471 + ... + 5242494129.

It is an arithmetic number, because the mean of its divisors is an integer number (67918179000).

Almost surely, 2^{13939788355200} is an apocalyptic number.

13939788355200 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 13939788355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26080580736000).

13939788355200 is an abundant number, since it is smaller than the sum of its proper divisors (38221373116800).

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

13939788355200 is a wasteful number, since it uses less digits than its factorization.

13939788355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 13939788355200 in words is "thirteen trillion, nine hundred thirty-nine billion, seven hundred eighty-eight million, three hundred fifty-five thousand, two hundred".