81707124576 has 192 divisors, whose sum is σ = 276031881216. Its totient is φ = 20537971200.

The previous prime is 81707124539. The next prime is 81707124581. The reversal of 81707124576 is 67542170718.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50871 + ... + 407433.

It is an arithmetic number, because the mean of its divisors is an integer number (1437666048).

Almost surely, 2^81707124576 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 81707124576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138015940608).

81707124576 is an abundant number, since it is smaller than the sum of its proper divisors (194324756640).

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

81707124576 is a wasteful number, since it uses less digits than its factorization.

81707124576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356625 (or 356617 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 81707124576 in words is "eighty-one billion, seven hundred seven million, one hundred twenty-four thousand, five hundred seventy-six".