19805368968 has 768 divisors, whose sum is σ = 75554519040. Its totient is φ = 4702924800.

The previous prime is 19805368943. The next prime is 19805368981. The reversal of 19805368968 is 86986350891.

19805368968 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 536 + 8 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109421838 + ... + 109422018.

It is an arithmetic number, because the mean of its divisors is an integer number (98378280).

Almost surely, 2^19805368968 is an apocalyptic number.

19805368968 is a gapful number since it is divisible by the number (18) 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 19805368968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37777259520).

19805368968 is an abundant number, since it is smaller than the sum of its proper divisors (55749150072).

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

19805368968 is a wasteful number, since it uses less digits than its factorization.

19805368968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 19805368968 in words is "nineteen billion, eight hundred five million, three hundred sixty-eight thousand, nine hundred sixty-eight".