13825365120 has 640 divisors, whose sum is σ = 58293734400. Its totient is φ = 3055656960.

The previous prime is 13825365079. The next prime is 13825365137. The reversal of 13825365120 is 2156352831.

13825365120 is a `hidden beast` number, since 13 + 82 + 53 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×13825365120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11248666 + ... + 11249894.

It is an arithmetic number, because the mean of its divisors is an integer number (91083960).

Almost surely, 2^13825365120 is an apocalyptic number.

13825365120 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 13825365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29146867200).

13825365120 is an abundant number, since it is smaller than the sum of its proper divisors (44468369280).

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

13825365120 is a wasteful number, since it uses less digits than its factorization.

13825365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13825365120 in words is "thirteen billion, eight hundred twenty-five million, three hundred sixty-five thousand, one hundred twenty".