82757615616 has 408 divisors, whose sum is σ = 264503375136. Its totient is φ = 24772608000.

The previous prime is 82757615597. The next prime is 82757615621. The reversal of 82757615616 is 61651675728.

It is a happy number.

82757615616 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 7 + 6 + 15 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329711491 + ... + 329711741.

Almost surely, 2^82757615616 is an apocalyptic number.

82757615616 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82757615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132251687568).

82757615616 is an abundant number, since it is smaller than the sum of its proper divisors (181745759520).

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

82757615616 is a wasteful number, since it uses less digits than its factorization.

82757615616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 312 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 82757615616 in words is "eighty-two billion, seven hundred fifty-seven million, six hundred fifteen thousand, six hundred sixteen".