19681528860 has 288 divisors, whose sum is σ = 72019584000. Its totient is φ = 4250050560.

The previous prime is 19681528859. The next prime is 19681528877. The reversal of 19681528860 is 6882518691.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19681528797 and 19681528806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10748145 + ... + 10749975.

It is an arithmetic number, because the mean of its divisors is an integer number (250068000).

Almost surely, 2^19681528860 is an apocalyptic number.

19681528860 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 19681528860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36009792000).

19681528860 is an abundant number, since it is smaller than the sum of its proper divisors (52338055140).

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

19681528860 is a wasteful number, since it uses less digits than its factorization.

19681528860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 19681528860 in words is "nineteen billion, six hundred eighty-one million, five hundred twenty-eight thousand, eight hundred sixty".