13542542122400 has 72 divisors (see below), whose sum is σ = 33067025348364. Its totient is φ = 5415985510400.

The previous prime is 13542542122349. The next prime is 13542542122457. The reversal of 13542542122400 is 422124524531.

It can be written as a sum of positive squares in 6 ways, for example, as 4740426271504 + 8802115850896 = 2177252^2 + 2966836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2599964 + ... + 5817636.

Almost surely, 2^{13542542122400} is an apocalyptic number.

13542542122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13542542122400 is an abundant number, since it is smaller than the sum of its proper divisors (19524483225964).

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

13542542122400 is a wasteful number, since it uses less digits than its factorization.

13542542122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222954 (or 3222941 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 13542542122400 its reverse (422124524531), we get a palindrome (13964666646931).

The spelling of 13542542122400 in words is "thirteen trillion, five hundred forty-two billion, five hundred forty-two million, one hundred twenty-two thousand, four hundred".