26508012960 has 384 divisors, whose sum is σ = 103873238784. Its totient is φ = 5582684160.

The previous prime is 26508012953. The next prime is 26508012961. The reversal of 26508012960 is 6921080562.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (26508012961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1155522 + ... + 1178238.

It is an arithmetic number, because the mean of its divisors is an integer number (270503226).

Almost surely, 2^26508012960 is an apocalyptic number.

26508012960 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 26508012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51936619392).

26508012960 is an abundant number, since it is smaller than the sum of its proper divisors (77365225824).

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

26508012960 is a wasteful number, since it uses less digits than its factorization.

26508012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22776 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 26508012960 in words is "twenty-six billion, five hundred eight million, twelve thousand, nine hundred sixty".