81759396096 has 729 divisors, whose sum is σ = 294617362221. Its totient is φ = 21740285952.

The previous prime is 81759396083. The next prime is 81759396101. The reversal of 81759396096 is 69069395718.

The square root of 81759396096 is 285936.

It is a perfect power (a square), and thus also a powerful number.

81759396096 is a `hidden beast` number, since 8 + 17 + 5 + 9 + 3 + 9 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73159430400 + 8599965696 = 270480^2 + 92736^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 80 ways as a sum of consecutive naturals, for example, 2209713390 + ... + 2209713426.

Almost surely, 2^81759396096 is an apocalyptic number.

81759396096 is the 285936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81759396096

81759396096 is an abundant number, since it is smaller than the sum of its proper divisors (212857966125).

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

81759396096 is a wasteful number, since it uses less digits than its factorization.

81759396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 81759396096 in words is "eighty-one billion, seven hundred fifty-nine million, three hundred ninety-six thousand, ninety-six".