26606998609920 has 1008 divisors, whose sum is σ = 96479681236848. Its totient is φ = 7043100180480.

The previous prime is 26606998609897. The next prime is 26606998609951. The reversal of 26606998609920 is 2990689960662.

26606998609920 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 6 + 9 + 9 + 8 + 609 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 71 ways as a sum of consecutive naturals, for example, 48641679087 + ... + 48641679633.

It is an arithmetic number, because the mean of its divisors is an integer number (95713969481).

Almost surely, 2^{26606998609920} is an apocalyptic number.

26606998609920 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 26606998609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48239840618424).

26606998609920 is an abundant number, since it is smaller than the sum of its proper divisors (69872682626928).

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

26606998609920 is an frugal number, since it uses more digits than its factorization.

26606998609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 26606998609920 in words is "twenty-six trillion, six hundred six billion, nine hundred ninety-eight million, six hundred nine thousand, nine hundred twenty".