13512426400 has 288 divisors, whose sum is σ = 37979819136. Its totient is φ = 4646400000.

The previous prime is 13512426391. The next prime is 13512426401. The reversal of 13512426400 is 462421531.

It is not an unprimeable number, because it can be changed into a prime (13512426401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20442070 + ... + 20442730.

It is an arithmetic number, because the mean of its divisors is an integer number (131874372).

Almost surely, 2^13512426400 is an apocalyptic number.

13512426400 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 13512426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989909568).

13512426400 is an abundant number, since it is smaller than the sum of its proper divisors (24467392736).

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

13512426400 is a wasteful number, since it uses less digits than its factorization.

13512426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 13512426400 its reverse (462421531), we get a palindrome (13974847931).

The spelling of 13512426400 in words is "thirteen billion, five hundred twelve million, four hundred twenty-six thousand, four hundred".