81965489510016 has 96 divisors (see below), whose sum is σ = 269559124754400. Its totient is φ = 23418711286272.

The previous prime is 81965489509987. The next prime is 81965489510057. The reversal of 81965489510016 is 61001598456918.

81965489510016 is a `hidden beast` number, since 8 + 1 + 9 + 65 + 48 + 9 + 510 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×81965489510016⁴ (a number of 57 digits) contains 4444 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5082177546 + ... + 5082193673.

It is an arithmetic number, because the mean of its divisors is an integer number (2807907549525).

Almost surely, 2^{81965489510016} is an apocalyptic number.

It is an amenable number.

81965489510016 is an abundant number, since it is smaller than the sum of its proper divisors (187593635244384).

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

81965489510016 is a wasteful number, since it uses less digits than its factorization.

81965489510016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164371246 (or 10164371231 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 81965489510016 in words is "eighty-one trillion, nine hundred sixty-five billion, four hundred eighty-nine million, five hundred ten thousand, sixteen".