13380084900 has 864 divisors, whose sum is σ = 54896486400. Its totient is φ = 2736115200.

The previous prime is 13380084811. The next prime is 13380084917. The reversal of 13380084900 is 948008331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 188451865 + ... + 188451935.

It is an arithmetic number, because the mean of its divisors is an integer number (63537600).

Almost surely, 2^13380084900 is an apocalyptic number.

13380084900 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 13380084900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27448243200).

13380084900 is an abundant number, since it is smaller than the sum of its proper divisors (41516401500).

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

13380084900 is a wasteful number, since it uses less digits than its factorization.

13380084900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13380084900 in words is "thirteen billion, three hundred eighty million, eighty-four thousand, nine hundred".