26632488960 has 1152 divisors, whose sum is σ = 120200371200. Its totient is φ = 5494210560.

The previous prime is 26632488913. The next prime is 26632488977. The reversal of 26632488960 is 6988423662.

26632488960 is a `hidden beast` number, since 266 + 3 + 248 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26632488897 and 26632488906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191600571 + ... + 191600709.

It is an arithmetic number, because the mean of its divisors is an integer number (104340600).

Almost surely, 2^26632488960 is an apocalyptic number.

26632488960 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 26632488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60100185600).

26632488960 is an abundant number, since it is smaller than the sum of its proper divisors (93567882240).

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

26632488960 is a wasteful number, since it uses less digits than its factorization.

26632488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 26632488960 in words is "twenty-six billion, six hundred thirty-two million, four hundred eighty-eight thousand, nine hundred sixty".