827545010436 has 36 divisors (see below), whose sum is σ = 2110361843772. Its totient is φ = 273407199744.

The previous prime is 827545010407. The next prime is 827545010449. The reversal of 827545010436 is 634010545728.

827545010436 is a `hidden beast` number, since 82 + 75 + 450 + 10 + 43 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 379140673536 + 448404336900 = 615744^2 + 669630^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 827545010391 and 827545010400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101709921 + ... + 101718056.

It is an arithmetic number, because the mean of its divisors is an integer number (58621162327).

Almost surely, 2^827545010436 is an apocalyptic number.

It is an amenable number.

827545010436 is an abundant number, since it is smaller than the sum of its proper divisors (1282816833336).

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

827545010436 is a wasteful number, since it uses less digits than its factorization.

827545010436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203428100 (or 203428095 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 827545010436 in words is "eight hundred twenty-seven billion, five hundred forty-five million, ten thousand, four hundred thirty-six".