18960854880 has 288 divisors, whose sum is σ = 67774178304. Its totient is φ = 4447872000.

The previous prime is 18960854879. The next prime is 18960854881. The reversal of 18960854880 is 8845806981.

It is an interprime number because it is at equal distance from previous prime (18960854879) and next prime (18960854881).

It is a self number, because there is not a number n which added to its sum of digits gives 18960854880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18960854881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795215 + ... + 1805745.

It is an arithmetic number, because the mean of its divisors is an integer number (235327008).

Almost surely, 2^18960854880 is an apocalyptic number.

18960854880 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 18960854880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33887089152).

18960854880 is an abundant number, since it is smaller than the sum of its proper divisors (48813323424).

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

18960854880 is a wasteful number, since it uses less digits than its factorization.

18960854880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602 (or 10583 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 57.

The spelling of 18960854880 in words is "eighteen billion, nine hundred sixty million, eight hundred fifty-four thousand, eight hundred eighty".