19106745840 has 960 divisors, whose sum is σ = 85274542080. Its totient is φ = 3722526720.

The previous prime is 19106745773. The next prime is 19106745851. The reversal of 19106745840 is 4854760191.

19106745840 is a `hidden beast` number, since 1 + 9 + 1 + 0 + 67 + 4 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46715556 + ... + 46715964.

It is an arithmetic number, because the mean of its divisors is an integer number (88827648).

Almost surely, 2^19106745840 is an apocalyptic number.

19106745840 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 19106745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42637271040).

19106745840 is an abundant number, since it is smaller than the sum of its proper divisors (66167796240).

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

19106745840 is a wasteful number, since it uses less digits than its factorization.

19106745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 19106745840 in words is "nineteen billion, one hundred six million, seven hundred forty-five thousand, eight hundred forty".