18812290800 has 120 divisors (see below), whose sum is σ = 60847506304. Its totient is φ = 4967873280.

The previous prime is 18812290793. The next prime is 18812290813. The reversal of 18812290800 is 809221881.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 47499 + ... + 199701.

Almost surely, 2^18812290800 is an apocalyptic number.

18812290800 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 18812290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30423753152).

18812290800 is an abundant number, since it is smaller than the sum of its proper divisors (42035215504).

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

18812290800 is a wasteful number, since it uses less digits than its factorization.

18812290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152327 (or 152316 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 18812290800 in words is "eighteen billion, eight hundred twelve million, two hundred ninety thousand, eight hundred".