26682128352 has 240 divisors, whose sum is σ = 87225293232. Its totient is φ = 7932487680.

The previous prime is 26682128323. The next prime is 26682128377. The reversal of 26682128352 is 25382128662.

26682128352 is a `hidden beast` number, since 26 + 68 + 212 + 8 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26682128298 and 26682128307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1502308 + ... + 1519964.

Almost surely, 2^26682128352 is an apocalyptic number.

26682128352 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 26682128352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43612646616).

26682128352 is an abundant number, since it is smaller than the sum of its proper divisors (60543164880).

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

26682128352 is a wasteful number, since it uses less digits than its factorization.

26682128352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17743 (or 17726 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 26682128352 in words is "twenty-six billion, six hundred eighty-two million, one hundred twenty-eight thousand, three hundred fifty-two".