18736058880 has 960 divisors, whose sum is σ = 82730419200. Its totient is φ = 3805839360.

The previous prime is 18736058851. The next prime is 18736058899. The reversal of 18736058880 is 8885063781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104670631 + ... + 104670809.

It is an arithmetic number, because the mean of its divisors is an integer number (86177520).

Almost surely, 2^18736058880 is an apocalyptic number.

18736058880 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 18736058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41365209600).

18736058880 is an abundant number, since it is smaller than the sum of its proper divisors (63994360320).

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

18736058880 is a wasteful number, since it uses less digits than its factorization.

18736058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18736058880 in words is "eighteen billion, seven hundred thirty-six million, fifty-eight thousand, eight hundred eighty".