19725466656 has 576 divisors, whose sum is σ = 67347624960. Its totient is φ = 5016453120.

The previous prime is 19725466619. The next prime is 19725466681. The reversal of 19725466656 is 65666452791.

It is a junction number, because it is equal to n+sod(n) for n = 19725466596 and 19725466605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180967530 + ... + 180967638.

It is an arithmetic number, because the mean of its divisors is an integer number (116922960).

Almost surely, 2^19725466656 is an apocalyptic number.

19725466656 is a gapful number since it is divisible by the number (16) 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 19725466656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33673812480).

19725466656 is an abundant number, since it is smaller than the sum of its proper divisors (47622158304).

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

19725466656 is a wasteful number, since it uses less digits than its factorization.

19725466656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 57.

The spelling of 19725466656 in words is "nineteen billion, seven hundred twenty-five million, four hundred sixty-six thousand, six hundred fifty-six".