13825372318320 has 160 divisors (see below), whose sum is σ = 43161748185600. Its totient is φ = 3660711091200.

The previous prime is 13825372318283. The next prime is 13825372318421. The reversal of 13825372318320 is 2381327352831.

It is a super-2 number, since 2×13825372318320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13825372318320.

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 31 ways as a sum of consecutive naturals, for example, 101883957 + ... + 102019563.

It is an arithmetic number, because the mean of its divisors is an integer number (269760926160).

Almost surely, 2^{13825372318320} is an apocalyptic number.

13825372318320 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 13825372318320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21580874092800).

13825372318320 is an abundant number, since it is smaller than the sum of its proper divisors (29336375867280).

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

13825372318320 is a wasteful number, since it uses less digits than its factorization.

13825372318320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138623 (or 138617 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 13825372318320 in words is "thirteen trillion, eight hundred twenty-five billion, three hundred seventy-two million, three hundred eighteen thousand, three hundred twenty".