19942201760 has 96 divisors (see below), whose sum is σ = 50773543632. Its totient is φ = 7358054400.

The previous prime is 19942201759. The next prime is 19942201777. The reversal of 19942201760 is 6710224991.

It can be written as a sum of positive squares in 8 ways, for example, as 1169913616 + 18772288144 = 34204^2 + 137012^2 .

It is a super-2 number, since 2×19942201760² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4151360 + ... + 4156160.

Almost surely, 2^19942201760 is an apocalyptic number.

19942201760 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 19942201760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25386771816).

19942201760 is an abundant number, since it is smaller than the sum of its proper divisors (30831341872).

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

19942201760 is a wasteful number, since it uses less digits than its factorization.

19942201760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 19942201760 in words is "nineteen billion, nine hundred forty-two million, two hundred one thousand, seven hundred sixty".