18932993280 has 216 divisors, whose sum is σ = 65610253800. Its totient is φ = 5040783360.

The previous prime is 18932993257. The next prime is 18932993309. The reversal of 18932993280 is 8239923981.

It can be written as a sum of positive squares in 4 ways, for example, as 1874543616 + 17058449664 = 43296^2 + 130608^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12221946 + ... + 12223494.

It is an arithmetic number, because the mean of its divisors is an integer number (303751175).

Almost surely, 2^18932993280 is an apocalyptic number.

18932993280 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 18932993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32805126900).

18932993280 is an abundant number, since it is smaller than the sum of its proper divisors (46677260520).

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

18932993280 is a wasteful number, since it uses less digits than its factorization.

18932993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 18932993280 in words is "eighteen billion, nine hundred thirty-two million, nine hundred ninety-three thousand, two hundred eighty".