827892575055 has 256 divisors, whose sum is σ = 1829726760960. Its totient is φ = 345847117824.

The previous prime is 827892575053. The next prime is 827892575077. The reversal of 827892575055 is 550575298728.

827892575055 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 9 + 2 + 575 + 0 + 55 = 666.

It is not a de Polignac number, because 827892575055 - 2¹ = 827892575053 is a prime.

It is a super-2 number, since 2×827892575055² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 827892574983 and 827892575001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827892575051) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 669273897 + ... + 669275133.

It is an arithmetic number, because the mean of its divisors is an integer number (7147370160).

Almost surely, 2^827892575055 is an apocalyptic number.

827892575055 is an abundant number, since it is smaller than the sum of its proper divisors (1001834185905).

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

827892575055 is a wasteful number, since it uses less digits than its factorization.

827892575055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 63.

The spelling of 827892575055 in words is "eight hundred twenty-seven billion, eight hundred ninety-two million, five hundred seventy-five thousand, fifty-five".