19602984960 has 728 divisors, whose sum is σ = 76707273384. Its totient is φ = 4777574400.

The previous prime is 19602984923. The next prime is 19602984967. The reversal of 19602984960 is 6948920691.

19602984960 is a `hidden beast` number, since 1 + 9 + 60 + 2 + 98 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3251736576 + 16351248384 = 57024^2 + 127872^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19602984897 and 19602984906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19602984967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 194088910 + ... + 194089010.

Almost surely, 2^19602984960 is an apocalyptic number.

19602984960 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 19602984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38353636692).

19602984960 is an abundant number, since it is smaller than the sum of its proper divisors (57104288424).

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

19602984960 is an equidigital number, since it uses as much as digits as its factorization.

19602984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

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

The spelling of 19602984960 in words is "nineteen billion, six hundred two million, nine hundred eighty-four thousand, nine hundred sixty".