26028213120 has 1536 divisors, whose sum is σ = 123181793280. Its totient is φ = 4904976384.

The previous prime is 26028213119. The next prime is 26028213161. The reversal of 26028213120 is 2131282062.

26028213120 is a `hidden beast` number, since 2 + 602 + 8 + 2 + 1 + 31 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204946497 + ... + 204946623.

It is an arithmetic number, because the mean of its divisors is an integer number (80196480).

Almost surely, 2^26028213120 is an apocalyptic number.

26028213120 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 26028213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61590896640).

26028213120 is an abundant number, since it is smaller than the sum of its proper divisors (97153580160).

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

26028213120 is a wasteful number, since it uses less digits than its factorization.

26028213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 26028213120 its reverse (2131282062), we get a palindrome (28159495182).

The spelling of 26028213120 in words is "twenty-six billion, twenty-eight million, two hundred thirteen thousand, one hundred twenty".