26033413120 has 528 divisors, whose sum is σ = 77859429984. Its totient is φ = 8228044800.

The previous prime is 26033413111. The next prime is 26033413123. The reversal of 26033413120 is 2131433062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26033413123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703605742 + ... + 703605778.

Almost surely, 2^26033413120 is an apocalyptic number.

26033413120 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 26033413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38929714992).

26033413120 is an abundant number, since it is smaller than the sum of its proper divisors (51826016864).

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

26033413120 is a wasteful number, since it uses less digits than its factorization.

26033413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 26033413120 its reverse (2131433062), we get a palindrome (28164846182).

The spelling of 26033413120 in words is "twenty-six billion, thirty-three million, four hundred thirteen thousand, one hundred twenty".