13355685000 has 600 divisors, whose sum is σ = 54458091270. Its totient is φ = 3048192000.

The previous prime is 13355684989. The next prime is 13355685041. The reversal of 13355685000 is 58655331.

13355685000 is a `hidden beast` number, since 13 + 35 + 568 + 50 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 5731236 + 13349953764 = 2394^2 + 115542^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 19844664 + ... + 19845336.

Almost surely, 2^13355685000 is an apocalyptic number.

13355685000 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 13355685000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27229045635).

13355685000 is an abundant number, since it is smaller than the sum of its proper divisors (41102406270).

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

13355685000 is an equidigital number, since it uses as much as digits as its factorization.

13355685000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13355685000 in words is "thirteen billion, three hundred fifty-five million, six hundred eighty-five thousand".