1930102958992 has 120 divisors (see below), whose sum is σ = 4435409408040. Its totient is φ = 809504317440.

The previous prime is 1930102958939. The next prime is 1930102958999. The reversal of 1930102958992 is 2998592010391.

It can be written as a sum of positive squares in 12 ways, for example, as 390280076176 + 1539822882816 = 624724^2 + 1240896^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (1930102958999) by changing a digit.

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, 609142 + ... + 2057002.

It is an arithmetic number, because the mean of its divisors is an integer number (36961745067).

Almost surely, 2^{1930102958992} 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 1930102958992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217704704020).

1930102958992 is an abundant number, since it is smaller than the sum of its proper divisors (2505306449048).

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

1930102958992 is a wasteful number, since it uses less digits than its factorization.

1930102958992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447941 (or 1447922 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 58.

The spelling of 1930102958992 in words is "one trillion, nine hundred thirty billion, one hundred two million, nine hundred fifty-eight thousand, nine hundred ninety-two".