26634828000 has 768 divisors, whose sum is σ = 102893027328. Its totient is φ = 5955840000.

The previous prime is 26634827987. The next prime is 26634828053. The reversal of 26634828000 is 82843662.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26634828000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94115859 + ... + 94116141.

It is an arithmetic number, because the mean of its divisors is an integer number (133975296).

Almost surely, 2^26634828000 is an apocalyptic number.

26634828000 is a gapful number since it is divisible by the number (20) 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 26634828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51446513664).

26634828000 is an abundant number, since it is smaller than the sum of its proper divisors (76258199328).

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

26634828000 is a wasteful number, since it uses less digits than its factorization.

26634828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 26634828000 in words is "twenty-six billion, six hundred thirty-four million, eight hundred twenty-eight thousand".