2566705879660 has 384 divisors, whose sum is σ = 6575442370560. Its totient is φ = 832641638400.

The previous prime is 2566705879547. The next prime is 2566705879817. The reversal of 2566705879660 is 669785076652.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 379630680 + ... + 379637440.

It is an arithmetic number, because the mean of its divisors is an integer number (17123547840).

Almost surely, 2^{2566705879660} is an apocalyptic number.

2566705879660 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 2566705879660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287721185280).

2566705879660 is an abundant number, since it is smaller than the sum of its proper divisors (4008736490900).

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

2566705879660 is a wasteful number, since it uses less digits than its factorization.

2566705879660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 67.

The spelling of 2566705879660 in words is "two trillion, five hundred sixty-six billion, seven hundred five million, eight hundred seventy-nine thousand, six hundred sixty".