13382067600 has 540 divisors, whose sum is σ = 52744846336. Its totient is φ = 3136320000.

The previous prime is 13382067541. The next prime is 13382067617. The reversal of 13382067600 is 676028331.

It is a happy number.

13382067600 is a `hidden beast` number, since 13 + 38 + 2 + 0 + 6 + 7 + 600 = 666.

It is a super-3 number, since 3×13382067600³ (a number of 31 digits) contains 333 as substring.

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 107 ways as a sum of consecutive naturals, for example, 13503105 + ... + 13504095.

Almost surely, 2^13382067600 is an apocalyptic number.

13382067600 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 13382067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26372423168).

13382067600 is an abundant number, since it is smaller than the sum of its proper divisors (39362778736).

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

13382067600 is a wasteful number, since it uses less digits than its factorization.

13382067600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1043 counting only the distinct ones).

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

The spelling of 13382067600 in words is "thirteen billion, three hundred eighty-two million, sixty-seven thousand, six hundred".