13242028800 has 1296 divisors, whose sum is σ = 60111652608. Its totient is φ = 2492006400.

The previous prime is 13242028799. The next prime is 13242028829. The reversal of 13242028800 is 882024231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249849574 + ... + 249849626.

It is an arithmetic number, because the mean of its divisors is an integer number (46382448).

Almost surely, 2^13242028800 is an apocalyptic number.

13242028800 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 13242028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30055826304).

13242028800 is an abundant number, since it is smaller than the sum of its proper divisors (46869623808).

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

13242028800 is a wasteful number, since it uses less digits than its factorization.

13242028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 13242028800 in words is "thirteen billion, two hundred forty-two million, twenty-eight thousand, eight hundred".