13035540400 has 60 divisors (see below), whose sum is σ = 31338786600. Its totient is φ = 5210736640.

The previous prime is 13035540373. The next prime is 13035540461. The reversal of 13035540400 is 404553031.

13035540400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637536 + ... + 657664.

It is an arithmetic number, because the mean of its divisors is an integer number (522313110).

Almost surely, 2^13035540400 is an apocalyptic number.

13035540400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13035540400 is an abundant number, since it is smaller than the sum of its proper divisors (18303246200).

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

13035540400 is a wasteful number, since it uses less digits than its factorization.

13035540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21766 (or 21755 counting only the distinct ones).

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

The spelling of 13035540400 in words is "thirteen billion, thirty-five million, five hundred forty thousand, four hundred".