26852608823040 has 5760 divisors, whose sum is σ = 136658368143360. Its totient is φ = 4916124057600.

The previous prime is 26852608823023. The next prime is 26852608823069. The reversal of 26852608823040 is 4032880625862.

It is a happy number.

26852608823040 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 2 + 608 + 8 + 23 + 0 + 4 + 0 = 666.

26852608823040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 367843956444 + ... + 367843956516.

It is an arithmetic number, because the mean of its divisors is an integer number (23725411136).

Almost surely, 2^{26852608823040} is an apocalyptic number.

26852608823040 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 26852608823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68329184071680).

26852608823040 is an abundant number, since it is smaller than the sum of its proper divisors (109805759320320).

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

26852608823040 is a wasteful number, since it uses less digits than its factorization.

26852608823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 26852608823040 in words is "twenty-six trillion, eight hundred fifty-two billion, six hundred eight million, eight hundred twenty-three thousand, forty".