26182828056 has 256 divisors, whose sum is σ = 83746897920. Its totient is φ = 6624000000.

The previous prime is 26182828033. The next prime is 26182828079. The reversal of 26182828056 is 65082828162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26182828033) and next prime (26182828079).

It is a super-3 number, since 3×26182828056³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26182827996 and 26182828014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21800256 + ... + 21801456.

It is an arithmetic number, because the mean of its divisors is an integer number (327136320).

Almost surely, 2^26182828056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26182828056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41873448960).

26182828056 is an abundant number, since it is smaller than the sum of its proper divisors (57564069864).

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

26182828056 is a wasteful number, since it uses less digits than its factorization.

26182828056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 26182828056 in words is "twenty-six billion, one hundred eighty-two million, eight hundred twenty-eight thousand, fifty-six".