1995307292160 has 2240 divisors, whose sum is σ = 9136895201280. Its totient is φ = 406332702720.

The previous prime is 1995307292159. The next prime is 1995307292177. The reversal of 1995307292160 is 612927035991.

1995307292160 is a `hidden beast` number, since 1 + 9 + 9 + 530 + 7 + 2 + 92 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1995307292097 and 1995307292106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5264662851 + ... + 5264663229.

It is an arithmetic number, because the mean of its divisors is an integer number (4078971072).

Almost surely, 2^{1995307292160} is an apocalyptic number.

1995307292160 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 1995307292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568447600640).

1995307292160 is an abundant number, since it is smaller than the sum of its proper divisors (7141587909120).

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

1995307292160 is an equidigital number, since it uses as much as digits as its factorization.

1995307292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 1995307292160 in words is "one trillion, nine hundred ninety-five billion, three hundred seven million, two hundred ninety-two thousand, one hundred sixty".