13557544000 has 448 divisors, whose sum is σ = 45106693632. Its totient is φ = 3898368000.

The previous prime is 13557543997. The next prime is 13557544027. The reversal of 13557544000 is 44575531.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8007154 + ... + 8008846.

It is an arithmetic number, because the mean of its divisors is an integer number (100684584).

Almost surely, 2^13557544000 is an apocalyptic number.

13557544000 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 13557544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553346816).

13557544000 is an abundant number, since it is smaller than the sum of its proper divisors (31549149632).

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

13557544000 is a wasteful number, since it uses less digits than its factorization.

13557544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The spelling of 13557544000 in words is "thirteen billion, five hundred fifty-seven million, five hundred forty-four thousand".