13725281880 has 192 divisors, whose sum is σ = 45674759520. Its totient is φ = 3573504000.

The previous prime is 13725281861. The next prime is 13725281903. The reversal of 13725281880 is 8818252731.

13725281880 is a `hidden beast` number, since 1 + 37 + 2 + 528 + 18 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651695 + ... + 2656865.

Almost surely, 2^13725281880 is an apocalyptic number.

13725281880 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 13725281880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837379760).

13725281880 is an abundant number, since it is smaller than the sum of its proper divisors (31949477640).

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

13725281880 is a wasteful number, since it uses less digits than its factorization.

13725281880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5355 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 13725281880 in words is "thirteen billion, seven hundred twenty-five million, two hundred eighty-one thousand, eight hundred eighty".