18735312960 has 1120 divisors, whose sum is σ = 84265251840. Its totient is φ = 3868839936.

The previous prime is 18735312907. The next prime is 18735312989. The reversal of 18735312960 is 6921353781.

18735312960 is a `hidden beast` number, since 1 + 8 + 7 + 353 + 1 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 398623657 + ... + 398623703.

It is an arithmetic number, because the mean of its divisors is an integer number (75236832).

Almost surely, 2^18735312960 is an apocalyptic number.

18735312960 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 18735312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42132625920).

18735312960 is an abundant number, since it is smaller than the sum of its proper divisors (65529938880).

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

18735312960 is an equidigital number, since it uses as much as digits as its factorization.

18735312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 18735312960 in words is "eighteen billion, seven hundred thirty-five million, three hundred twelve thousand, nine hundred sixty".