827735018250 has 128 divisors (see below), whose sum is σ = 2382837050880. Its totient is φ = 187460697600.

The previous prime is 827735018167. The next prime is 827735018323. The reversal of 827735018250 is 52810537728.

It is a self number, because there is not a number n which added to its sum of digits gives 827735018250.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150979 + ... + 1295478.

It is an arithmetic number, because the mean of its divisors is an integer number (18615914460).

Almost surely, 2^827735018250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827735018250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191418525440).

827735018250 is an abundant number, since it is smaller than the sum of its proper divisors (1555102032630).

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

827735018250 is a wasteful number, since it uses less digits than its factorization.

827735018250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446593 (or 1446583 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 827735018250 in words is "eight hundred twenty-seven billion, seven hundred thirty-five million, eighteen thousand, two hundred fifty".