13370728252896 has 432 divisors, whose sum is σ = 44608151558880. Its totient is φ = 3721370204160.

The previous prime is 13370728252859. The next prime is 13370728252909. The reversal of 13370728252896 is 69825282707331.

13370728252896 is a `hidden beast` number, since 1 + 3 + 3 + 70 + 7 + 282 + 5 + 289 + 6 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1450025566 + ... + 1450034786.

It is an arithmetic number, because the mean of its divisors is an integer number (103259610090).

Almost surely, 2^{13370728252896} is an apocalyptic number.

13370728252896 is a gapful number since it is divisible by the number (16) 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 13370728252896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22304075779440).

13370728252896 is an abundant number, since it is smaller than the sum of its proper divisors (31237423305984).

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

13370728252896 is a wasteful number, since it uses less digits than its factorization.

13370728252896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9719 (or 9665 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 13370728252896 in words is "thirteen trillion, three hundred seventy billion, seven hundred twenty-eight million, two hundred fifty-two thousand, eight hundred ninety-six".