19616950080 has 1512 divisors, whose sum is σ = 92219590008. Its totient is φ = 3790209024.

The previous prime is 19616950051. The next prime is 19616950091. The reversal of 19616950080 is 8005961691.

19616950080 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 69 + 500 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 360392256 + 19256557824 = 18984^2 + 138768^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 530187822 + ... + 530187858.

Almost surely, 2^19616950080 is an apocalyptic number.

19616950080 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 19616950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46109795004).

19616950080 is an abundant number, since it is smaller than the sum of its proper divisors (72602639928).

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

19616950080 is a wasteful number, since it uses less digits than its factorization.

19616950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 19616950080 in words is "nineteen billion, six hundred sixteen million, nine hundred fifty thousand, eighty".