13653143400 has 192 divisors, whose sum is σ = 46159545600. Its totient is φ = 3318082560.

The previous prime is 13653143393. The next prime is 13653143423. The reversal of 13653143400 is 434135631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605122 + ... + 627278.

It is an arithmetic number, because the mean of its divisors is an integer number (240414300).

Almost surely, 2^13653143400 is an apocalyptic number.

13653143400 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 13653143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23079772800).

13653143400 is an abundant number, since it is smaller than the sum of its proper divisors (32506402200).

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

13653143400 is a wasteful number, since it uses less digits than its factorization.

13653143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22268 (or 22259 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 13653143400 in words is "thirteen billion, six hundred fifty-three million, one hundred forty-three thousand, four hundred".