26205829120 has 288 divisors, whose sum is σ = 69337522800. Its totient is φ = 9472311296.

The previous prime is 26205829099. The next prime is 26205829127. The reversal of 26205829120 is 2192850262.

It is a self number, because there is not a number n which added to its sum of digits gives 26205829120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26205829127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146401191 + ... + 146401369.

Almost surely, 2^26205829120 is an apocalyptic number.

26205829120 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 26205829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34668761400).

26205829120 is an abundant number, since it is smaller than the sum of its proper divisors (43131693680).

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

26205829120 is a wasteful number, since it uses less digits than its factorization.

26205829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 26205829120 in words is "twenty-six billion, two hundred five million, eight hundred twenty-nine thousand, one hundred twenty".