13728153600 has 918 divisors, whose sum is σ = 60216638820. Its totient is φ = 2972712960.

The previous prime is 13728153587. The next prime is 13728153611. The reversal of 13728153600 is 635182731.

13728153600 is a `hidden beast` number, since 1 + 37 + 2 + 8 + 15 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 722534391 + ... + 722534409.

Almost surely, 2^13728153600 is an apocalyptic number.

13728153600 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 13728153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30108319410).

13728153600 is an abundant number, since it is smaller than the sum of its proper divisors (46488485220).

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

13728153600 is an equidigital number, since it uses as much as digits as its factorization.

13728153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13728153600 in words is "thirteen billion, seven hundred twenty-eight million, one hundred fifty-three thousand, six hundred".