1669260257280 has 2304 divisors, whose sum is σ = 7769114196480. Its totient is φ = 320864256000.

The previous prime is 1669260257257. The next prime is 1669260257281. The reversal of 1669260257280 is 827520629661.

1669260257280 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 2 + 60 + 2 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (1669260257281) 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, 12184381372 + ... + 12184381508.

It is an arithmetic number, because the mean of its divisors is an integer number (3372011370).

Almost surely, 2^{1669260257280} is an apocalyptic number.

1669260257280 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 1669260257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884557098240).

1669260257280 is an abundant number, since it is smaller than the sum of its proper divisors (6099853939200).

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

1669260257280 is a wasteful number, since it uses less digits than its factorization.

1669260257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1669260257280 in words is "one trillion, six hundred sixty-nine billion, two hundred sixty million, two hundred fifty-seven thousand, two hundred eighty".