1001027019832 has 64 divisors (see below), whose sum is σ = 2180221505280. Its totient is φ = 422023241472.

The previous prime is 1001027019791. The next prime is 1001027019851. The reversal of 1001027019832 is 2389107201001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620823 + ... + 1545145.

It is an arithmetic number, because the mean of its divisors is an integer number (34065961020).

Almost surely, 2^{1001027019832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001027019832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090110752640).

1001027019832 is an abundant number, since it is smaller than the sum of its proper divisors (1179194485448).

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

1001027019832 is a wasteful number, since it uses less digits than its factorization.

1001027019832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924652 (or 924648 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 1001027019832 in words is "one trillion, one billion, twenty-seven million, nineteen thousand, eight hundred thirty-two".