827513438700 has 216 divisors, whose sum is σ = 2739046047472. Its totient is φ = 191713259520.

The previous prime is 827513438623. The next prime is 827513438711. The reversal of 827513438700 is 7834315728.

It is a self number, because there is not a number n which added to its sum of digits gives 827513438700.

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 71 ways as a sum of consecutive naturals, for example, 760002 + ... + 1494198.

Almost surely, 2^827513438700 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 827513438700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369523023736).

827513438700 is an abundant number, since it is smaller than the sum of its proper divisors (1911532608772).

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

827513438700 is a wasteful number, since it uses less digits than its factorization.

827513438700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734261 (or 734237 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 827513438700 in words is "eight hundred twenty-seven billion, five hundred thirteen million, four hundred thirty-eight thousand, seven hundred".