13079417337504 has 384 divisors, whose sum is σ = 44393033664000. Its totient is φ = 3669057699840.

The previous prime is 13079417337487. The next prime is 13079417337559. The reversal of 13079417337504 is 40573371497031.

13079417337504 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 94 + 17 + 3 + 37 + 504 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 205461072 + ... + 205524720.

It is an arithmetic number, because the mean of its divisors is an integer number (115606858500).

Almost surely, 2^{13079417337504} is an apocalyptic number.

13079417337504 is a gapful number since it is divisible by the number (14) 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 13079417337504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22196516832000).

13079417337504 is an abundant number, since it is smaller than the sum of its proper divisors (31313616326496).

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

13079417337504 is a wasteful number, since it uses less digits than its factorization.

13079417337504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64293 (or 64279 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 13079417337504 in words is "thirteen trillion, seventy-nine billion, four hundred seventeen million, three hundred thirty-seven thousand, five hundred four".