26536656960 has 336 divisors, whose sum is σ = 99792568512. Its totient is φ = 6418944000.

The previous prime is 26536656959. The next prime is 26536656961. The reversal of 26536656960 is 6965663562.

26536656960 is a `hidden beast` number, since 26 + 53 + 6 + 6 + 569 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26536656959) and next prime (26536656961).

It is a super-2 number, since 2×26536656960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26536656897 and 26536656906.

It is not an unprimeable number, because it can be changed into a prime (26536656961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25248435 + ... + 25249485.

It is an arithmetic number, because the mean of its divisors is an integer number (297001692).

Almost surely, 2^26536656960 is an apocalyptic number.

26536656960 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 26536656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896284256).

26536656960 is an abundant number, since it is smaller than the sum of its proper divisors (73255911552).

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

26536656960 is a wasteful number, since it uses less digits than its factorization.

26536656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 26536656960 in words is "twenty-six billion, five hundred thirty-six million, six hundred fifty-six thousand, nine hundred sixty".