13934990025360 has 320 divisors, whose sum is σ = 48910658088960. Its totient is φ = 3645896417280.

The previous prime is 13934990025289. The next prime is 13934990025379. The reversal of 13934990025360 is 6352009943931.

13934990025360 is a `hidden beast` number, since 1 + 3 + 93 + 499 + 0 + 0 + 2 + 5 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13934990025297 and 13934990025306.

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, 29885532 + ... + 30348228.

It is an arithmetic number, because the mean of its divisors is an integer number (152845806528).

Almost surely, 2^{13934990025360} is an apocalyptic number.

13934990025360 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 13934990025360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455329044480).

13934990025360 is an abundant number, since it is smaller than the sum of its proper divisors (34975668063600).

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

13934990025360 is a wasteful number, since it uses less digits than its factorization.

13934990025360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462983 (or 462971 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 13934990025360 in words is "thirteen trillion, nine hundred thirty-four billion, nine hundred ninety million, twenty-five thousand, three hundred sixty".