26310832128 has 260 divisors, whose sum is σ = 89834301040. Its totient is φ = 7516717056.

The previous prime is 26310832123. The next prime is 26310832139. The reversal of 26310832128 is 82123801362.

26310832128 is a `hidden beast` number, since 2 + 631 + 0 + 8 + 3 + 2 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26310832092 and 26310832101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26310832123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2316768 + ... + 2328096.

Almost surely, 2^26310832128 is an apocalyptic number.

26310832128 is a gapful number since it is divisible by the number (28) 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 26310832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44917150520).

26310832128 is an abundant number, since it is smaller than the sum of its proper divisors (63523468912).

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

26310832128 is an equidigital number, since it uses as much as digits as its factorization.

26310832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11372 (or 11341 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26310832128 in words is "twenty-six billion, three hundred ten million, eight hundred thirty-two thousand, one hundred twenty-eight".