13379548200 has 96 divisors (see below), whose sum is σ = 41521896000. Its totient is φ = 3563983360.

The previous prime is 13379548187. The next prime is 13379548213. The reversal of 13379548200 is 284597331.

It is an interprime number because it is at equal distance from previous prime (13379548187) and next prime (13379548213).

It is a super-2 number, since 2×13379548200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560101 + ... + 583499.

It is an arithmetic number, because the mean of its divisors is an integer number (432519750).

Almost surely, 2^13379548200 is an apocalyptic number.

13379548200 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 13379548200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20760948000).

13379548200 is an abundant number, since it is smaller than the sum of its proper divisors (28142347800).

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

13379548200 is a wasteful number, since it uses less digits than its factorization.

13379548200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24371 (or 24362 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 13379548200 in words is "thirteen billion, three hundred seventy-nine million, five hundred forty-eight thousand, two hundred".