13249425600 has 252 divisors, whose sum is σ = 47554109616. Its totient is φ = 3498485760.

The previous prime is 13249425593. The next prime is 13249425647. The reversal of 13249425600 is 652494231.

It is a happy number.

13249425600 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 9 + 42 + 5 + 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 35 ways as a sum of consecutive naturals, for example, 1478734 + ... + 1487666.

Almost surely, 2^13249425600 is an apocalyptic number.

13249425600 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 13249425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777054808).

13249425600 is an abundant number, since it is smaller than the sum of its proper divisors (34304684016).

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

13249425600 is a wasteful number, since it uses less digits than its factorization.

13249425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13249425600 in words is "thirteen billion, two hundred forty-nine million, four hundred twenty-five thousand, six hundred".