82773735516 has 48 divisors (see below), whose sum is σ = 217315033600. Its totient is φ = 27241986096.

The previous prime is 82773735511. The next prime is 82773735529. The reversal of 82773735516 is 61553737728.

It is a happy number.

82773735516 is a `hidden beast` number, since 8 + 27 + 73 + 7 + 35 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82773735511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4842250 + ... + 4859313.

Almost surely, 2^82773735516 is an apocalyptic number.

It is an amenable number.

82773735516 is an abundant number, since it is smaller than the sum of its proper divisors (134541298084).

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

82773735516 is a wasteful number, since it uses less digits than its factorization.

82773735516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701655 (or 9701647 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 82773735516 in words is "eighty-two billion, seven hundred seventy-three million, seven hundred thirty-five thousand, five hundred sixteen".