13396756824360 has 2304 divisors, whose sum is σ = 62295116083200. Its totient is φ = 2519585243136.

The previous prime is 13396756824337. The next prime is 13396756824389. The reversal of 13396756824360 is 6342865769331.

13396756824360 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 6 + 7 + 568 + 2 + 4 + 3 + 60 = 666.

It is a super-2 number, since 2×13396756824360² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3714097677 + ... + 3714101283.

It is an arithmetic number, because the mean of its divisors is an integer number (27037810800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13396756824360 = 26793513648720, but 3⋅13396756824360 = 40190270473080 is not.

Almost surely, 2^{13396756824360} is an apocalyptic number.

13396756824360 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 13396756824360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31147558041600).

13396756824360 is an abundant number, since it is smaller than the sum of its proper divisors (48898359258840).

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

13396756824360 is a wasteful number, since it uses less digits than its factorization.

13396756824360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 13396756824360 in words is "thirteen trillion, three hundred ninety-six billion, seven hundred fifty-six million, eight hundred twenty-four thousand, three hundred sixty".