13870021200 has 960 divisors, whose sum is σ = 58028285952. Its totient is φ = 2757427200.

The previous prime is 13870021199. The next prime is 13870021213. The reversal of 13870021200 is 212007831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134660349 + ... + 134660451.

Almost surely, 2^13870021200 is an apocalyptic number.

13870021200 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 13870021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29014142976).

13870021200 is an abundant number, since it is smaller than the sum of its proper divisors (44158264752).

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

13870021200 is a wasteful number, since it uses less digits than its factorization.

13870021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 13870021200 in words is "thirteen billion, eight hundred seventy million, twenty-one thousand, two hundred".