26612226600960 has 3328 divisors, whose sum is σ = 121366998466560. Its totient is φ = 4799940526080.

The previous prime is 26612226600959. The next prime is 26612226600977. The reversal of 26612226600960 is 6900662221662.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 76692295507 + ... + 76692295853.

Almost surely, 2^{26612226600960} is an apocalyptic number.

26612226600960 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 26612226600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60683499233280).

26612226600960 is an abundant number, since it is smaller than the sum of its proper divisors (94754771865600).

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

26612226600960 is a wasteful number, since it uses less digits than its factorization.

26612226600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 26612226600960 in words is "twenty-six trillion, six hundred twelve billion, two hundred twenty-six million, six hundred thousand, nine hundred sixty".