13378656906720 has 384 divisors, whose sum is σ = 53536687948800. Its totient is φ = 3056718145536.

The previous prime is 13378656906701. The next prime is 13378656906739. The reversal of 13378656906720 is 2760965687331.

13378656906720 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 8 + 6 + 569 + 0 + 67 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13378656906701) and next prime (13378656906739).

It is a super-3 number, since 3×13378656906720³ (a number of 40 digits) contains 333 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74270202 + ... + 74450118.

It is an arithmetic number, because the mean of its divisors is an integer number (139418458200).

Almost surely, 2^{13378656906720} is an apocalyptic number.

13378656906720 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 13378656906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26768343974400).

13378656906720 is an abundant number, since it is smaller than the sum of its proper divisors (40158031042080).

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

13378656906720 is a wasteful number, since it uses less digits than its factorization.

13378656906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182407 (or 182393 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 13378656906720 in words is "thirteen trillion, three hundred seventy-eight billion, six hundred fifty-six million, nine hundred six thousand, seven hundred twenty".