1970892682160 has 80 divisors (see below), whose sum is σ = 4631848557600. Its totient is φ = 779860389888.

The previous prime is 1970892682153. The next prime is 1970892682211. The reversal of 1970892682160 is 612862980791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1970892682160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5215112 + ... + 5580248.

It is an arithmetic number, because the mean of its divisors is an integer number (57898106970).

Almost surely, 2^{1970892682160} is an apocalyptic number.

1970892682160 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 1970892682160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315924278800).

1970892682160 is an abundant number, since it is smaller than the sum of its proper divisors (2660955875440).

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

1970892682160 is a wasteful number, since it uses less digits than its factorization.

1970892682160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365878 (or 365872 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 59.

The spelling of 1970892682160 in words is "one trillion, nine hundred seventy billion, eight hundred ninety-two million, six hundred eighty-two thousand, one hundred sixty".