2666758125960 has 256 divisors, whose sum is σ = 9430732800000. Its totient is φ = 668401880832.

The previous prime is 2666758125943. The next prime is 2666758126027. The reversal of 2666758125960 is 695218576662.

It is a happy number.

It is a super-2 number, since 2×2666758125960² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2094391 + ... + 3117689.

It is an arithmetic number, because the mean of its divisors is an integer number (36838800000).

Almost surely, 2^{2666758125960} is an apocalyptic number.

2666758125960 is a gapful number since it is divisible by the number (20) 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 2666758125960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715366400000).

2666758125960 is an abundant number, since it is smaller than the sum of its proper divisors (6763974674040).

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

2666758125960 is a wasteful number, since it uses less digits than its factorization.

2666758125960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023465 (or 1023455 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2666758125960 in words is "two trillion, six hundred sixty-six billion, seven hundred fifty-eight million, one hundred twenty-five thousand, nine hundred sixty".