26243028000 has 1728 divisors, whose sum is σ = 122346806400. Its totient is φ = 5486745600.

The previous prime is 26243027969. The next prime is 26243028017. The reversal of 26243028000 is 82034262.

26243028000 is a `hidden beast` number, since 2 + 624 + 30 + 2 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 904931986 + ... + 904932014.

It is an arithmetic number, because the mean of its divisors is an integer number (70802550).

Almost surely, 2^26243028000 is an apocalyptic number.

26243028000 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 26243028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61173403200).

26243028000 is an abundant number, since it is smaller than the sum of its proper divisors (96103778400).

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

26243028000 is a wasteful number, since it uses less digits than its factorization.

26243028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 26243028000 in words is "twenty-six billion, two hundred forty-three million, twenty-eight thousand".