26328456960 has 432 divisors, whose sum is σ = 94757992224. Its totient is φ = 6192857088.

The previous prime is 26328456949. The next prime is 26328456991. The reversal of 26328456960 is 6965482362.

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 47 ways as a sum of consecutive naturals, for example, 26407182 + ... + 26408178.

Almost surely, 2^26328456960 is an apocalyptic number.

26328456960 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 26328456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47378996112).

26328456960 is an abundant number, since it is smaller than the sum of its proper divisors (68429535264).

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

26328456960 is a wasteful number, since it uses less digits than its factorization.

26328456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 26328456960 in words is "twenty-six billion, three hundred twenty-eight million, four hundred fifty-six thousand, nine hundred sixty".