1995745796352 has 1296 divisors, whose sum is σ = 7659049507200. Its totient is φ = 517704929280.

The previous prime is 1995745796311. The next prime is 1995745796371. The reversal of 1995745796352 is 2536975475991.

1995745796352 is a `hidden beast` number, since 1 + 9 + 9 + 57 + 457 + 96 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2581818238 + ... + 2581819010.

Almost surely, 2^{1995745796352} is an apocalyptic number.

1995745796352 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 1995745796352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829524753600).

1995745796352 is an abundant number, since it is smaller than the sum of its proper divisors (5663303710848).

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

1995745796352 is an frugal number, since it uses more digits than its factorization.

1995745796352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 796 counting only the distinct ones).

The product of its digits is 642978000, while the sum is 72.

The spelling of 1995745796352 in words is "one trillion, nine hundred ninety-five billion, seven hundred forty-five million, seven hundred ninety-six thousand, three hundred fifty-two".