13512054400 has 96 divisors (see below), whose sum is σ = 35946722700. Its totient is φ = 4989050880.

The previous prime is 13512054379. The next prime is 13512054401. The reversal of 13512054400 is 445021531.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3767995456 + 9744058944 = 61384^2 + 98712^2 .

It is a super-2 number, since 2×13512054400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13512054401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120805 + ... + 204004.

Almost surely, 2^13512054400 is an apocalyptic number.

13512054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13512054400 is an abundant number, since it is smaller than the sum of its proper divisors (22434668300).

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

13512054400 is a wasteful number, since it uses less digits than its factorization.

13512054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324846 (or 324829 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 13512054400 its reverse (445021531), we get a palindrome (13957075931).

The spelling of 13512054400 in words is "thirteen billion, five hundred twelve million, fifty-four thousand, four hundred".