18930931200 has 900 divisors, whose sum is σ = 76208241780. Its totient is φ = 4628275200.

The previous prime is 18930931177. The next prime is 18930931211. The reversal of 18930931200 is 213903981.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 610675185 + ... + 610675215.

Almost surely, 2^18930931200 is an apocalyptic number.

18930931200 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 18930931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38104120890).

18930931200 is an abundant number, since it is smaller than the sum of its proper divisors (57277310580).

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

18930931200 is an equidigital number, since it uses as much as digits as its factorization.

18930931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 18930931200 in words is "eighteen billion, nine hundred thirty million, nine hundred thirty-one thousand, two hundred".