26682068952 has 256 divisors, whose sum is σ = 93229747200. Its totient is φ = 6868592640.

The previous prime is 26682068909. The next prime is 26682068953. The reversal of 26682068952 is 25986028662.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26682068953) 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, 1872318 + ... + 1886514.

It is an arithmetic number, because the mean of its divisors is an integer number (364178700).

Almost surely, 2^26682068952 is an apocalyptic number.

26682068952 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 26682068952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46614873600).

26682068952 is an abundant number, since it is smaller than the sum of its proper divisors (66547678248).

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

26682068952 is a wasteful number, since it uses less digits than its factorization.

26682068952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14343 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 26682068952 in words is "twenty-six billion, six hundred eighty-two million, sixty-eight thousand, nine hundred fifty-two".