1996570080960 has 1792 divisors, whose sum is σ = 8767354982400. Its totient is φ = 372523401216.

The previous prime is 1996570080899. The next prime is 1996570080961. The reversal of 1996570080960 is 690800756991.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1996570080894 and 1996570080903.

It is not an unprimeable number, because it can be changed into a prime (1996570080961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4881589236 + ... + 4881589644.

It is an arithmetic number, because the mean of its divisors is an integer number (4892497200).

Almost surely, 2^{1996570080960} is an apocalyptic number.

1996570080960 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 1996570080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383677491200).

1996570080960 is an abundant number, since it is smaller than the sum of its proper divisors (6770784901440).

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

1996570080960 is a wasteful number, since it uses less digits than its factorization.

1996570080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The spelling of 1996570080960 in words is "one trillion, nine hundred ninety-six billion, five hundred seventy million, eighty thousand, nine hundred sixty".