81610529760 has 144 divisors (see below), whose sum is σ = 293153711760. Its totient is φ = 20617390080.

The previous prime is 81610529603. The next prime is 81610529789. The reversal of 81610529760 is 6792501618.

81610529760 is a `hidden beast` number, since 8 + 1 + 61 + 0 + 529 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1464061 + ... + 1518780.

It is an arithmetic number, because the mean of its divisors is an integer number (2035789665).

Almost surely, 2^81610529760 is an apocalyptic number.

81610529760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81610529760 is an abundant number, since it is smaller than the sum of its proper divisors (211543182000).

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

81610529760 is a wasteful number, since it uses less digits than its factorization.

81610529760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982881 (or 2982870 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 81610529760 in words is "eighty-one billion, six hundred ten million, five hundred twenty-nine thousand, seven hundred sixty".