26788972523040 has 4032 divisors, whose sum is σ = 127616435380224. Its totient is φ = 5246206672896.

The previous prime is 26788972523029. The next prime is 26788972523069. The reversal of 26788972523040 is 4032527988762.

26788972523040 is a `hidden beast` number, since 2 + 6 + 78 + 8 + 9 + 7 + 252 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 160413009037 + ... + 160413009203.

It is an arithmetic number, because the mean of its divisors is an integer number (31650901632).

Almost surely, 2^{26788972523040} is an apocalyptic number.

26788972523040 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 26788972523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63808217690112).

26788972523040 is an abundant number, since it is smaller than the sum of its proper divisors (100827462857184).

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

26788972523040 is a wasteful number, since it uses less digits than its factorization.

26788972523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 26788972523040 in words is "twenty-six trillion, seven hundred eighty-eight billion, nine hundred seventy-two million, five hundred twenty-three thousand, forty".