13789952265600 has 768 divisors, whose sum is σ = 58372138944000. Its totient is φ = 3114001981440.

The previous prime is 13789952265569. The next prime is 13789952265613. The reversal of 13789952265600 is 656225998731.

13789952265600 is a `hidden beast` number, since 13 + 7 + 8 + 9 + 9 + 5 + 2 + 2 + 6 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50061046 + ... + 50335754.

It is an arithmetic number, because the mean of its divisors is an integer number (76005389250).

Almost surely, 2^{13789952265600} is an apocalyptic number.

13789952265600 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 13789952265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29186069472000).

13789952265600 is an abundant number, since it is smaller than the sum of its proper divisors (44582186678400).

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

13789952265600 is a wasteful number, since it uses less digits than its factorization.

13789952265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274832 (or 274809 counting only the distinct ones).

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

The spelling of 13789952265600 in words is "thirteen trillion, seven hundred eighty-nine billion, nine hundred fifty-two million, two hundred sixty-five thousand, six hundred".