13556735000 has 80 divisors (see below), whose sum is σ = 33632078040. Its totient is φ = 5103680000.

The previous prime is 13556734979. The next prime is 13556735021. The reversal of 13556735000 is 53765531.

It is an interprime number because it is at equal distance from previous prime (13556734979) and next prime (13556735021).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 5255 + ... + 164745.

Almost surely, 2^13556735000 is an apocalyptic number.

13556735000 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 13556735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816039020).

13556735000 is an abundant number, since it is smaller than the sum of its proper divisors (20075343040).

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

13556735000 is a wasteful number, since it uses less digits than its factorization.

13556735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159534 (or 159515 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 35.

The spelling of 13556735000 in words is "thirteen billion, five hundred fifty-six million, seven hundred thirty-five thousand".