827219956401 has 16 divisors (see below), whose sum is σ = 1225807300800. Its totient is φ = 551346656544.

The previous prime is 827219956369. The next prime is 827219956411. The reversal of 827219956401 is 104659912728.

It is a happy number.

827219956401 is a `hidden beast` number, since 8 + 2 + 72 + 1 + 9 + 9 + 564 + 0 + 1 = 666.

It is not a de Polignac number, because 827219956401 - 2⁵ = 827219956369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827219956411) 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 15 ways as a sum of consecutive naturals, for example, 3589356 + ... + 3812861.

It is an arithmetic number, because the mean of its divisors is an integer number (76612956300).

Almost surely, 2^827219956401 is an apocalyptic number.

It is an amenable number.

827219956401 is a deficient number, since it is larger than the sum of its proper divisors (398587344399).

827219956401 is a wasteful number, since it uses less digits than its factorization.

827219956401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406365 (or 7406359 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 827219956401 in words is "eight hundred twenty-seven billion, two hundred nineteen million, nine hundred fifty-six thousand, four hundred one".