18800269800 has 288 divisors, whose sum is σ = 64827413280. Its totient is φ = 4501785600.

The previous prime is 18800269793. The next prime is 18800269823. The reversal of 18800269800 is 896200881.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3749295 + ... + 3754305.

It is an arithmetic number, because the mean of its divisors is an integer number (225095185).

Almost surely, 2^18800269800 is an apocalyptic number.

18800269800 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 18800269800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32413706640).

18800269800 is an abundant number, since it is smaller than the sum of its proper divisors (46027143480).

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

18800269800 is a wasteful number, since it uses less digits than its factorization.

18800269800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 18800269800 in words is "eighteen billion, eight hundred million, two hundred sixty-nine thousand, eight hundred".