1995058017792 has 320 divisors, whose sum is σ = 7104379814400. Its totient is φ = 540015206400.

The previous prime is 1995058017787. The next prime is 1995058017809. The reversal of 1995058017792 is 2977108505991.

It is a super-2 number, since 2×1995058017792² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1296042 + ... + 2381142.

It is an arithmetic number, because the mean of its divisors is an integer number (22201186920).

Almost surely, 2^{1995058017792} is an apocalyptic number.

1995058017792 is a gapful number since it is divisible by the number (12) 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 1995058017792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552189907200).

1995058017792 is an abundant number, since it is smaller than the sum of its proper divisors (5109321796608).

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

1995058017792 is a wasteful number, since it uses less digits than its factorization.

1995058017792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085154 (or 1085132 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 63.

The spelling of 1995058017792 in words is "one trillion, nine hundred ninety-five billion, fifty-eight million, seventeen thousand, seven hundred ninety-two".