13540350400 has 168 divisors, whose sum is σ = 35418826800. Its totient is φ = 5077155840.

The previous prime is 13540350389. The next prime is 13540350403. The reversal of 13540350400 is 405304531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540350403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7968751 + ... + 7970449.

It is an arithmetic number, because the mean of its divisors is an integer number (210826350).

Almost surely, 2^13540350400 is an apocalyptic number.

13540350400 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 13540350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709413400).

13540350400 is an abundant number, since it is smaller than the sum of its proper divisors (21878476400).

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

13540350400 is a wasteful number, since it uses less digits than its factorization.

13540350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 13540350400 its reverse (405304531), we get a palindrome (13945654931).

The spelling of 13540350400 in words is "thirteen billion, five hundred forty million, three hundred fifty thousand, four hundred".