26860280832 has 1056 divisors, whose sum is σ = 105938309120. Its totient is φ = 6569164800.

The previous prime is 26860280827. The next prime is 26860280879. The reversal of 26860280832 is 23808206862.

26860280832 is a `hidden beast` number, since 2 + 6 + 8 + 602 + 8 + 0 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×26860280832² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 725953518 + ... + 725953554.

Almost surely, 2^26860280832 is an apocalyptic number.

26860280832 is a gapful number since it is divisible by the number (22) 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 26860280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52969154560).

26860280832 is an abundant number, since it is smaller than the sum of its proper divisors (79078028288).

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

26860280832 is a wasteful number, since it uses less digits than its factorization.

26860280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 26860280832 in words is "twenty-six billion, eight hundred sixty million, two hundred eighty thousand, eight hundred thirty-two".