19948259688 has 256 divisors, whose sum is σ = 60606627840. Its totient is φ = 5351270400.

The previous prime is 19948259641. The next prime is 19948259717. The reversal of 19948259688 is 88695284991.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62928106 + ... + 62928422.

It is an arithmetic number, because the mean of its divisors is an integer number (236744640).

Almost surely, 2^19948259688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19948259688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30303313920).

19948259688 is an abundant number, since it is smaller than the sum of its proper divisors (40658368152).

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

19948259688 is a wasteful number, since it uses less digits than its factorization.

19948259688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 69.

The spelling of 19948259688 in words is "nineteen billion, nine hundred forty-eight million, two hundred fifty-nine thousand, six hundred eighty-eight".