13542324400 has 60 divisors (see below), whose sum is σ = 35493212664. Its totient is φ = 4924480000.

The previous prime is 13542324377. The next prime is 13542324401. The reversal of 13542324400 is 442324531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13542324401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1534501 + ... + 1543300.

Almost surely, 2^13542324400 is an apocalyptic number.

13542324400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13542324400 is an abundant number, since it is smaller than the sum of its proper divisors (21950888264).

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

13542324400 is a wasteful number, since it uses less digits than its factorization.

13542324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077830 (or 3077819 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 13542324400 its reverse (442324531), we get a palindrome (13984648931).

The spelling of 13542324400 in words is "thirteen billion, five hundred forty-two million, three hundred twenty-four thousand, four hundred".