26551850848848 has 1440 divisors, whose sum is σ = 91850977161216. Its totient is φ = 7098693009408.

The previous prime is 26551850848777. The next prime is 26551850848849. The reversal of 26551850848848 is 84884805815562.

26551850848848 is a `hidden beast` number, since 2 + 6 + 5 + 51 + 8 + 50 + 8 + 488 + 48 = 666.

It is a super-3 number, since 3×26551850848848³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26551850848849) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 48540860511 + ... + 48540861057.

Almost surely, 2^{26551850848848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26551850848848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45925488580608).

26551850848848 is an abundant number, since it is smaller than the sum of its proper divisors (65299126312368).

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

26551850848848 is a wasteful number, since it uses less digits than its factorization.

26551850848848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 786432000, while the sum is 72.

The spelling of 26551850848848 in words is "twenty-six trillion, five hundred fifty-one billion, eight hundred fifty million, eight hundred forty-eight thousand, eight hundred forty-eight".