18681865200 has 180 divisors, whose sum is σ = 65105520480. Its totient is φ = 4960757760.

The previous prime is 18681865177. The next prime is 18681865217. The reversal of 18681865200 is 256818681.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 849544 + ... + 871256.

It is an arithmetic number, because the mean of its divisors is an integer number (361697336).

Almost surely, 2^18681865200 is an apocalyptic number.

18681865200 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 18681865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32552760240).

18681865200 is an abundant number, since it is smaller than the sum of its proper divisors (46423655280).

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

18681865200 is a wasteful number, since it uses less digits than its factorization.

18681865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21976 (or 21962 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 18681865200 in words is "eighteen billion, six hundred eighty-one million, eight hundred sixty-five thousand, two hundred".