13826736000 has 1536 divisors, whose sum is σ = 65531980800. Its totient is φ = 2709504000.

The previous prime is 13826735981. The next prime is 13826736037. The reversal of 13826736000 is 63762831.

It is a happy number.

13826736000 is a `hidden beast` number, since 1 + 38 + 267 + 360 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 321551979 + ... + 321552021.

It is an arithmetic number, because the mean of its divisors is an integer number (42664050).

Almost surely, 2^13826736000 is an apocalyptic number.

13826736000 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 13826736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32765990400).

13826736000 is an abundant number, since it is smaller than the sum of its proper divisors (51705244800).

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

13826736000 is a wasteful number, since it uses less digits than its factorization.

13826736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13826736000 in words is "thirteen billion, eight hundred twenty-six million, seven hundred thirty-six thousand".