1997956520560 has 960 divisors, whose sum is σ = 6569779507200. Its totient is φ = 549291663360.

The previous prime is 1997956520519. The next prime is 1997956520569. The reversal of 1997956520560 is 650256597991.

It is a junction number, because it is equal to n+sod(n) for n = 1997956520492 and 1997956520501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997956520569) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1922960521 + ... + 1922961559.

It is an arithmetic number, because the mean of its divisors is an integer number (6843520320).

Almost surely, 2^{1997956520560} is an apocalyptic number.

1997956520560 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 1997956520560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284889753600).

1997956520560 is an abundant number, since it is smaller than the sum of its proper divisors (4571822986640).

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

1997956520560 is a wasteful number, since it uses less digits than its factorization.

1997956520560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 64.

The spelling of 1997956520560 in words is "one trillion, nine hundred ninety-seven billion, nine hundred fifty-six million, five hundred twenty thousand, five hundred sixty".