26566345486560 has 192 divisors, whose sum is σ = 91614213976320. Its totient is φ = 6417568481280.

The previous prime is 26566345486511. The next prime is 26566345486567. The reversal of 26566345486560 is 6568454366562.

It is a super-2 number, since 2×26566345486560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 26566345486491 and 26566345486500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26566345486567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7395345 + ... + 10383824.

It is an arithmetic number, because the mean of its divisors is an integer number (477157364460).

Almost surely, 2^{26566345486560} is an apocalyptic number.

26566345486560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26566345486560 is an abundant number, since it is smaller than the sum of its proper divisors (65047868489760).

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

26566345486560 is a wasteful number, since it uses less digits than its factorization.

26566345486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17779481 (or 17779473 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 66.

The spelling of 26566345486560 in words is "twenty-six trillion, five hundred sixty-six billion, three hundred forty-five million, four hundred eighty-six thousand, five hundred sixty".