18981840960 has 504 divisors, whose sum is σ = 71751495816. Its totient is φ = 4589813760.

The previous prime is 18981840947. The next prime is 18981840967. The reversal of 18981840960 is 6904818981.

It can be written as a sum of positive squares in 12 ways, for example, as 2655134784 + 16326706176 = 51528^2 + 127776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18981840897 and 18981840906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18981840967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41175130 + ... + 41175590.

It is an arithmetic number, because the mean of its divisors is an integer number (142364079).

Almost surely, 2^18981840960 is an apocalyptic number.

18981840960 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 18981840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35875747908).

18981840960 is an abundant number, since it is smaller than the sum of its proper divisors (52769654856).

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

18981840960 is a wasteful number, since it uses less digits than its factorization.

18981840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 18981840960 in words is "eighteen billion, nine hundred eighty-one million, eight hundred forty thousand, nine hundred sixty".