1971095868160 has 144 divisors (see below), whose sum is σ = 4889130674400. Its totient is φ = 760481906688.

The previous prime is 1971095868103. The next prime is 1971095868163. The reversal of 1971095868160 is 618685901791.

It is not an unprimeable number, because it can be changed into a prime (1971095868163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37427767 + ... + 37480393.

It is an arithmetic number, because the mean of its divisors is an integer number (33952296350).

Almost surely, 2^{1971095868160} is an apocalyptic number.

1971095868160 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 1971095868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444565337200).

1971095868160 is an abundant number, since it is smaller than the sum of its proper divisors (2918034806240).

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

1971095868160 is a wasteful number, since it uses less digits than its factorization.

1971095868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53686 (or 53672 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 61.

The spelling of 1971095868160 in words is "one trillion, nine hundred seventy-one billion, ninety-five million, eight hundred sixty-eight thousand, one hundred sixty".