81761592200 has 36 divisors (see below), whose sum is σ = 190105104165. Its totient is φ = 32703019360.

The previous prime is 81761592181. The next prime is 81761592217. The reversal of 81761592200 is 229516718.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 80126360356 + 1635231844 = 283066^2 + 40438^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202190.

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 8 ways as a sum of consecutive naturals, for example, 4033691 + ... + 4053909.

Almost surely, 2^81761592200 is an apocalyptic number.

It is an amenable number.

81761592200 is an abundant number, since it is smaller than the sum of its proper divisors (108343511965).

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

81761592200 is an frugal number, since it uses more digits than its factorization.

81761592200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40454 (or 20226 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 81761592200 in words is "eighty-one billion, seven hundred sixty-one million, five hundred ninety-two thousand, two hundred".