26818200133848 has 256 divisors, whose sum is σ = 79299013824000. Its totient is φ = 8368593408000.

The previous prime is 26818200133847. The next prime is 26818200133867. The reversal of 26818200133848 is 84833100281862.

26818200133848 is a `hidden beast` number, since 2 + 68 + 1 + 8 + 200 + 1 + 338 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26818200133794 and 26818200133803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26818200133847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395390783 + ... + 1395410001.

It is an arithmetic number, because the mean of its divisors is an integer number (309761772750).

Almost surely, 2^{26818200133848} 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 26818200133848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39649506912000).

26818200133848 is an abundant number, since it is smaller than the sum of its proper divisors (52480813690152).

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

26818200133848 is a wasteful number, since it uses less digits than its factorization.

26818200133848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21263 (or 21253 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 26818200133848 in words is "twenty-six trillion, eight hundred eighteen billion, two hundred million, one hundred thirty-three thousand, eight hundred forty-eight".