18794280960 has 1152 divisors, whose sum is σ = 84140259840. Its totient is φ = 3917611008.

The previous prime is 18794280959. The next prime is 18794280961. The reversal of 18794280960 is 6908249781.

It is an interprime number because it is at equal distance from previous prime (18794280959) and next prime (18794280961).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18794280897 and 18794280906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18794280961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226437079 + ... + 226437161.

It is an arithmetic number, because the mean of its divisors is an integer number (73038420).

Almost surely, 2^18794280960 is an apocalyptic number.

18794280960 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 18794280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42070129920).

18794280960 is an abundant number, since it is smaller than the sum of its proper divisors (65345978880).

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

18794280960 is an equidigital number, since it uses as much as digits as its factorization.

18794280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 18794280960 in words is "eighteen billion, seven hundred ninety-four million, two hundred eighty thousand, nine hundred sixty".