26832706560 has 264 divisors, whose sum is σ = 101428784496. Its totient is φ = 6504775680.

The previous prime is 26832706559. The next prime is 26832706573. The reversal of 26832706560 is 6560723862.

It is a happy number.

26832706560 is a `hidden beast` number, since 2 + 6 + 83 + 2 + 7 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480412 + ... + 533348.

Almost surely, 2^26832706560 is an apocalyptic number.

26832706560 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 26832706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50714392248).

26832706560 is an abundant number, since it is smaller than the sum of its proper divisors (74596077936).

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

26832706560 is a wasteful number, since it uses less digits than its factorization.

26832706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52979 (or 52958 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26832706560 in words is "twenty-six billion, eight hundred thirty-two million, seven hundred six thousand, five hundred sixty".