13892657725440 has 1920 divisors, whose sum is σ = 57098127985920. Its totient is φ = 3174517702656.

The previous prime is 13892657725409. The next prime is 13892657725477. The reversal of 13892657725440 is 4452775629831.

It is a happy number.

13892657725440 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 2 + 6 + 577 + 2 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47415213934 + ... + 47415214226.

It is an arithmetic number, because the mean of its divisors is an integer number (29738608326).

It is a 1-persistent number, because it is pandigital, but 2⋅13892657725440 = 27785315450880 is not.

Almost surely, 2^{13892657725440} is an apocalyptic number.

13892657725440 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 13892657725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28549063992960).

13892657725440 is an abundant number, since it is smaller than the sum of its proper divisors (43205470260480).

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

13892657725440 is a wasteful number, since it uses less digits than its factorization.

13892657725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 13892657725440 in words is "thirteen trillion, eight hundred ninety-two billion, six hundred fifty-seven million, seven hundred twenty-five thousand, four hundred forty".