826533816084 has 144 divisors (see below), whose sum is σ = 2188111511040. Its totient is φ = 262755394560.

The previous prime is 826533816083. The next prime is 826533816089. The reversal of 826533816084 is 480618335628.

826533816084 is a `hidden beast` number, since 8 + 26 + 5 + 3 + 3 + 8 + 1 + 608 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 826533816084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826533816083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37873944 + ... + 37895760.

Almost surely, 2^826533816084 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 826533816084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094055755520).

826533816084 is an abundant number, since it is smaller than the sum of its proper divisors (1361577694956).

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

826533816084 is a wasteful number, since it uses less digits than its factorization.

826533816084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22350 (or 22345 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 826533816084 in words is "eight hundred twenty-six billion, five hundred thirty-three million, eight hundred sixteen thousand, eighty-four".