1995065425920 has 1024 divisors, whose sum is σ = 8066630799360. Its totient is φ = 410253262848.

The previous prime is 1995065425831. The next prime is 1995065425939. The reversal of 1995065425920 is 295245605991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-3 number, since 3×1995065425920³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1345289499 + ... + 1345290981.

It is an arithmetic number, because the mean of its divisors is an integer number (7877569140).

Almost surely, 2^{1995065425920} is an apocalyptic number.

1995065425920 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 1995065425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033315399680).

1995065425920 is an abundant number, since it is smaller than the sum of its proper divisors (6071565373440).

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

1995065425920 is a wasteful number, since it uses less digits than its factorization.

1995065425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 57.

The spelling of 1995065425920 in words is "one trillion, nine hundred ninety-five billion, sixty-five million, four hundred twenty-five thousand, nine hundred twenty".