13572428800 has 528 divisors, whose sum is σ = 41668404480. Its totient is φ = 4282122240.

The previous prime is 13572428789. The next prime is 13572428819. The reversal of 13572428800 is 882427531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 152499156 + ... + 152499244.

Almost surely, 2^13572428800 is an apocalyptic number.

13572428800 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 13572428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20834202240).

13572428800 is an abundant number, since it is smaller than the sum of its proper divisors (28095975680).

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

13572428800 is a wasteful number, since it uses less digits than its factorization.

13572428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 13572428800 in words is "thirteen billion, five hundred seventy-two million, four hundred twenty-eight thousand, eight hundred".