26505120 has 48 divisors (see below), whose sum is σ = 83492640. Its totient is φ = 7067904.

The previous prime is 26505119. The next prime is 26505139. The reversal of 26505120 is 2150562.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27130 + ... + 28089.

It is an arithmetic number, because the mean of its divisors is an integer number (1739430).

Almost surely, 2^26505120 is an apocalyptic number.

26505120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26505120 is an abundant number, since it is smaller than the sum of its proper divisors (56987520).

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

26505120 is a wasteful number, since it uses less digits than its factorization.

26505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55237 (or 55229 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 26505120 is about 5148.3123448369. The cubic root of 26505120 is about 298.1557973977.

Adding to 26505120 its reverse (2150562), we get a palindrome (28655682).

The spelling of 26505120 in words is "twenty-six million, five hundred five thousand, one hundred twenty".