26612160120 has 1024 divisors, whose sum is σ = 116392550400. Its totient is φ = 5255331840.

The previous prime is 26612160109. The next prime is 26612160151. The reversal of 26612160120 is 2106121662.

26612160120 is a `hidden beast` number, since 26 + 6 + 12 + 1 + 601 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137886744 + ... + 137886936.

It is an arithmetic number, because the mean of its divisors is an integer number (113664600).

Almost surely, 2^26612160120 is an apocalyptic number.

26612160120 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 26612160120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58196275200).

26612160120 is an abundant number, since it is smaller than the sum of its proper divisors (89780390280).

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

26612160120 is a wasteful number, since it uses less digits than its factorization.

26612160120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 26612160120 its reverse (2106121662), we get a palindrome (28718281782).

The spelling of 26612160120 in words is "twenty-six billion, six hundred twelve million, one hundred sixty thousand, one hundred twenty".