18968869920 has 1152 divisors, whose sum is σ = 83874728448. Its totient is φ = 3503554560.

The previous prime is 18968869903. The next prime is 18968869921. The reversal of 18968869920 is 2996886981.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (18968869921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195555312 + ... + 195555408.

It is an arithmetic number, because the mean of its divisors is an integer number (72807924).

Almost surely, 2^18968869920 is an apocalyptic number.

18968869920 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 18968869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41937364224).

18968869920 is an abundant number, since it is smaller than the sum of its proper divisors (64905858528).

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

18968869920 is a wasteful number, since it uses less digits than its factorization.

18968869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 66.

It can be divided in two parts, 18968 and 869920, that added together give a palindrome (888888).

The spelling of 18968869920 in words is "eighteen billion, nine hundred sixty-eight million, eight hundred sixty-nine thousand, nine hundred twenty".