19406551968 has 192 divisors, whose sum is σ = 60023376000. Its totient is φ = 6082947072.

The previous prime is 19406551903. The next prime is 19406551991. The reversal of 19406551968 is 86915560491.

19406551968 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 65 + 519 + 68 = 666.

It is a super-2 number, since 2×19406551968² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244678 + ... + 2253306.

It is an arithmetic number, because the mean of its divisors is an integer number (312621750).

Almost surely, 2^19406551968 is an apocalyptic number.

19406551968 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 19406551968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30011688000).

19406551968 is an abundant number, since it is smaller than the sum of its proper divisors (40616824032).

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

19406551968 is a wasteful number, since it uses less digits than its factorization.

19406551968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 19406551968 in words is "nineteen billion, four hundred six million, five hundred fifty-one thousand, nine hundred sixty-eight".