13725865920 has 224 divisors, whose sum is σ = 47352094272. Its totient is φ = 3348430848.

The previous prime is 13725865889. The next prime is 13725865973. The reversal of 13725865920 is 2956852731.

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 13725865920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405374 + ... + 1415106.

It is an arithmetic number, because the mean of its divisors is an integer number (211393278).

Almost surely, 2^13725865920 is an apocalyptic number.

13725865920 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 13725865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23676047136).

13725865920 is an abundant number, since it is smaller than the sum of its proper divisors (33626228352).

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

13725865920 is a wasteful number, since it uses less digits than its factorization.

13725865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 13725865920 in words is "thirteen billion, seven hundred twenty-five million, eight hundred sixty-five thousand, nine hundred twenty".