13558272000 has 832 divisors, whose sum is σ = 56100355584. Its totient is φ = 2831155200.

The previous prime is 13558271999. The next prime is 13558272011. The reversal of 13558272000 is 27285531.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139775952 + ... + 139776048.

It is an arithmetic number, because the mean of its divisors is an integer number (67428312).

Almost surely, 2^13558272000 is an apocalyptic number.

13558272000 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 13558272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28050177792).

13558272000 is an abundant number, since it is smaller than the sum of its proper divisors (42542083584).

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

13558272000 is an equidigital number, since it uses as much as digits as its factorization.

13558272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 13558272000 in words is "thirteen billion, five hundred fifty-eight million, two hundred seventy-two thousand".