13242547200 has 264 divisors, whose sum is σ = 43998545520. Its totient is φ = 3512729600.

The previous prime is 13242547177. The next prime is 13242547243. The reversal of 13242547200 is 274524231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20658880 + ... + 20659520.

Almost surely, 2^13242547200 is an apocalyptic number.

13242547200 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 13242547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21999272760).

13242547200 is an abundant number, since it is smaller than the sum of its proper divisors (30755998320).

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

13242547200 is a wasteful number, since it uses less digits than its factorization.

13242547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 13242547200 in words is "thirteen billion, two hundred forty-two million, five hundred forty-seven thousand, two hundred".