19681634880 has 448 divisors, whose sum is σ = 73803052800. Its totient is φ = 4923555840.

The previous prime is 19681634851. The next prime is 19681634887. The reversal of 19681634880 is 8843618691.

It is a super-2 number, since 2×19681634880² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (19681634887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18549550 + ... + 18550610.

Almost surely, 2^19681634880 is an apocalyptic number.

19681634880 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 19681634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36901526400).

19681634880 is an abundant number, since it is smaller than the sum of its proper divisors (54121417920).

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

19681634880 is a wasteful number, since it uses less digits than its factorization.

19681634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 19681634880 in words is "nineteen billion, six hundred eighty-one million, six hundred thirty-four thousand, eight hundred eighty".