13657724928 has 480 divisors, whose sum is σ = 44951306400. Its totient is φ = 4112252928.

The previous prime is 13657724827. The next prime is 13657724929. The reversal of 13657724928 is 82942775631.

It is a happy number.

13657724928 is a `hidden beast` number, since 1 + 3 + 6 + 577 + 2 + 49 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13657724929) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81782701 + ... + 81782867.

It is an arithmetic number, because the mean of its divisors is an integer number (93648555).

Almost surely, 2^13657724928 is an apocalyptic number.

13657724928 is a gapful number since it is divisible by the number (18) 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 13657724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475653200).

13657724928 is an abundant number, since it is smaller than the sum of its proper divisors (31293581472).

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

13657724928 is a wasteful number, since it uses less digits than its factorization.

13657724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 218 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 13657724928 in words is "thirteen billion, six hundred fifty-seven million, seven hundred twenty-four thousand, nine hundred twenty-eight".