827281115664 has 160 divisors (see below), whose sum is σ = 2211458457600. Its totient is φ = 266290675200.

The previous prime is 827281115651. The next prime is 827281115671. The reversal of 827281115664 is 466511182728.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152323029 + ... + 152328459.

It is an arithmetic number, because the mean of its divisors is an integer number (13821615360).

Almost surely, 2^827281115664 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 827281115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105729228800).

827281115664 is an abundant number, since it is smaller than the sum of its proper divisors (1384177341936).

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

827281115664 is a wasteful number, since it uses less digits than its factorization.

827281115664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6103 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The spelling of 827281115664 in words is "eight hundred twenty-seven billion, two hundred eighty-one million, one hundred fifteen thousand, six hundred sixty-four".