827064073100 has 36 divisors (see below), whose sum is σ = 1794963281664. Its totient is φ = 330782450880.

The previous prime is 827064073097. The next prime is 827064073111. The reversal of 827064073100 is 1370460728.

It is a super-2 number, since 2×827064073100² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 235829 + ... + 1307571.

Almost surely, 2^827064073100 is an apocalyptic number.

It is an amenable number.

827064073100 is an abundant number, since it is smaller than the sum of its proper divisors (967899208564).

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

827064073100 is a wasteful number, since it uses less digits than its factorization.

827064073100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079474 (or 1079467 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 827064073100 in words is "eight hundred twenty-seven billion, sixty-four million, seventy-three thousand, one hundred".