13625748789120 has 1536 divisors, whose sum is σ = 55271907532800. Its totient is φ = 3165806592000.

The previous prime is 13625748789043. The next prime is 13625748789127. The reversal of 13625748789120 is 2198784752631.

13625748789120 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 57 + 487 + 89 + 1 + 20 = 666.

13625748789120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13625748789120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13625748789127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3711724885 + ... + 3711728555.

It is an arithmetic number, because the mean of its divisors is an integer number (35984314800).

It is a 1-persistent number, because it is pandigital, but 2⋅13625748789120 = 27251497578240 is not.

Almost surely, 2^{13625748789120} is an apocalyptic number.

13625748789120 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 13625748789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27635953766400).

13625748789120 is an abundant number, since it is smaller than the sum of its proper divisors (41646158743680).

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

13625748789120 is a wasteful number, since it uses less digits than its factorization.

13625748789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 13625748789120 in words is "thirteen trillion, six hundred twenty-five billion, seven hundred forty-eight million, seven hundred eighty-nine thousand, one hundred twenty".