827199547776 has 1440 divisors, whose sum is σ = 3237268339800. Its totient is φ = 207764766720.

The previous prime is 827199547763. The next prime is 827199547883. The reversal of 827199547776 is 677745991728.

827199547776 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 9 + 9 + 547 + 7 + 76 = 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 179 ways as a sum of consecutive naturals, for example, 11650697821 + ... + 11650697891.

Almost surely, 2^827199547776 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 827199547776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618634169900).

827199547776 is an abundant number, since it is smaller than the sum of its proper divisors (2410068792024).

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

827199547776 is a wasteful number, since it uses less digits than its factorization.

827199547776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 119 counting only the distinct ones).

The product of its digits is 373403520, while the sum is 72.

The spelling of 827199547776 in words is "eight hundred twenty-seven billion, one hundred ninety-nine million, five hundred forty-seven thousand, seven hundred seventy-six".