1990017709056 has 264 divisors, whose sum is σ = 6215251322280. Its totient is φ = 609630879744.

The previous prime is 1990017709037. The next prime is 1990017709061. The reversal of 1990017709056 is 6509077100991.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 696757478400 + 1293260230656 = 834720^2 + 1137216^2 .

It is a super-2 number, since 2×1990017709056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1990017708993 and 1990017709011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27399766 + ... + 27472298.

It is an arithmetic number, because the mean of its divisors is an integer number (23542618645).

Almost surely, 2^{1990017709056} is an apocalyptic number.

1990017709056 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 1990017709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107625661140).

1990017709056 is an abundant number, since it is smaller than the sum of its proper divisors (4225233613224).

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

1990017709056 is a wasteful number, since it uses less digits than its factorization.

1990017709056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72801 (or 72780 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 54.

The spelling of 1990017709056 in words is "one trillion, nine hundred ninety billion, seventeen million, seven hundred nine thousand, fifty-six".