81599824152 has 576 divisors, whose sum is σ = 303551539200. Its totient is φ = 19296921600.

The previous prime is 81599824139. The next prime is 81599824177. The reversal of 81599824152 is 25142899518.

81599824152 is a `hidden beast` number, since 8 + 1 + 599 + 8 + 2 + 41 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32137299 + ... + 32139837.

It is an arithmetic number, because the mean of its divisors is an integer number (526999200).

Almost surely, 2^81599824152 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 81599824152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151775769600).

81599824152 is an abundant number, since it is smaller than the sum of its proper divisors (221951715048).

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

81599824152 is a wasteful number, since it uses less digits than its factorization.

81599824152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2610 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 81599824152 in words is "eighty-one billion, five hundred ninety-nine million, eight hundred twenty-four thousand, one hundred fifty-two".