13391378291520 has 1344 divisors, whose sum is σ = 50047740497664. Its totient is φ = 3405455032320.

The previous prime is 13391378291491. The next prime is 13391378291579. The reversal of 13391378291520 is 2519287319331.

It is a happy number.

13391378291520 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 1 + 37 + 82 + 9 + 1 + 520 = 666.

It is a super-2 number, since 2×13391378291520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37935915664 + ... + 37935916016.

It is an arithmetic number, because the mean of its divisors is an integer number (37237902156).

Almost surely, 2^{13391378291520} is an apocalyptic number.

13391378291520 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 13391378291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25023870248832).

13391378291520 is an abundant number, since it is smaller than the sum of its proper divisors (36656362206144).

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

13391378291520 is a wasteful number, since it uses less digits than its factorization.

13391378291520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 13391378291520 in words is "thirteen trillion, three hundred ninety-one billion, three hundred seventy-eight million, two hundred ninety-one thousand, five hundred twenty".