13540838400 has 198 divisors, whose sum is σ = 48483432452. Its totient is φ = 3610828800.

The previous prime is 13540838393. The next prime is 13540838413. The reversal of 13540838400 is 483804531.

13540838400 is a `hidden beast` number, since 135 + 40 + 83 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201015 + ... + 259785.

Almost surely, 2^13540838400 is an apocalyptic number.

13540838400 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 13540838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24241716226).

13540838400 is an abundant number, since it is smaller than the sum of its proper divisors (34942594052).

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

13540838400 is a wasteful number, since it uses less digits than its factorization.

13540838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58807 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13540838400 in words is "thirteen billion, five hundred forty million, eight hundred thirty-eight thousand, four hundred".