81677174528 has 72 divisors (see below), whose sum is σ = 170566240320. Its totient is φ = 38994575360.

The previous prime is 81677174507. The next prime is 81677174549. The reversal of 81677174528 is 82547177618.

It is an interprime number because it is at equal distance from previous prime (81677174507) and next prime (81677174549).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410528 + ... + 576096.

It is an arithmetic number, because the mean of its divisors is an integer number (2368975560).

Almost surely, 2^81677174528 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 81677174528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85283120160).

81677174528 is an abundant number, since it is smaller than the sum of its proper divisors (88889065792).

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

81677174528 is a wasteful number, since it uses less digits than its factorization.

81677174528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165673 (or 165659 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 56.

The spelling of 81677174528 in words is "eighty-one billion, six hundred seventy-seven million, one hundred seventy-four thousand, five hundred twenty-eight".