26282105520 has 320 divisors, whose sum is σ = 93936844800. Its totient is φ = 6016158720.

The previous prime is 26282105513. The next prime is 26282105533. The reversal of 26282105520 is 2550128262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4794141 + ... + 4799619.

It is an arithmetic number, because the mean of its divisors is an integer number (293552640).

Almost surely, 2^26282105520 is an apocalyptic number.

26282105520 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 26282105520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46968422400).

26282105520 is an abundant number, since it is smaller than the sum of its proper divisors (67654739280).

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

26282105520 is a wasteful number, since it uses less digits than its factorization.

26282105520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 26282105520 in words is "twenty-six billion, two hundred eighty-two million, one hundred five thousand, five hundred twenty".