19782977760 has 1152 divisors, whose sum is σ = 88542720000. Its totient is φ = 4121155584.

The previous prime is 19782977723. The next prime is 19782977803. The reversal of 19782977760 is 6777928791.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 250417401 + ... + 250417479.

It is an arithmetic number, because the mean of its divisors is an integer number (76860000).

Almost surely, 2^19782977760 is an apocalyptic number.

19782977760 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 19782977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44271360000).

19782977760 is an abundant number, since it is smaller than the sum of its proper divisors (68759742240).

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

19782977760 is a wasteful number, since it uses less digits than its factorization.

19782977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 63.

The spelling of 19782977760 in words is "nineteen billion, seven hundred eighty-two million, nine hundred seventy-seven thousand, seven hundred sixty".