18870667200 has 1680 divisors, whose sum is σ = 90732668928. Its totient is φ = 3732480000.

The previous prime is 18870667187. The next prime is 18870667201. The reversal of 18870667200 is 276607881.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×18870667200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18870667201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 309355170 + ... + 309355230.

Almost surely, 2^18870667200 is an apocalyptic number.

18870667200 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 18870667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45366334464).

18870667200 is an abundant number, since it is smaller than the sum of its proper divisors (71862001728).

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

18870667200 is a wasteful number, since it uses less digits than its factorization.

18870667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 18870667200 in words is "eighteen billion, eight hundred seventy million, six hundred sixty-seven thousand, two hundred".