1948035090760 has 96 divisors (see below), whose sum is σ = 4818922388280. Its totient is φ = 708206146560.

The previous prime is 1948035090697. The next prime is 1948035090773. The reversal of 1948035090760 is 670905308491.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1936333476484 + 11701614276 = 1391522^2 + 108174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1948035090698 and 1948035090707.

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 23 ways as a sum of consecutive naturals, for example, 21041692 + ... + 21134068.

Almost surely, 2^{1948035090760} is an apocalyptic number.

1948035090760 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 1948035090760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409461194140).

1948035090760 is an abundant number, since it is smaller than the sum of its proper divisors (2870887297520).

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

1948035090760 is a wasteful number, since it uses less digits than its factorization.

1948035090760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96767 (or 96752 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 1948035090760 in words is "one trillion, nine hundred forty-eight billion, thirty-five million, ninety thousand, seven hundred sixty".