82788586272 has 240 divisors, whose sum is σ = 278858365632. Its totient is φ = 23603166720.

The previous prime is 82788586261. The next prime is 82788586291. The reversal of 82788586272 is 27268588728.

82788586272 is a `hidden beast` number, since 8 + 27 + 8 + 8 + 586 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8904058 + ... + 8913350.

Almost surely, 2^82788586272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82788586272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139429182816).

82788586272 is an abundant number, since it is smaller than the sum of its proper divisors (196069779360).

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

82788586272 is a wasteful number, since it uses less digits than its factorization.

82788586272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9796 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 63.

The spelling of 82788586272 in words is "eighty-two billion, seven hundred eighty-eight million, five hundred eighty-six thousand, two hundred seventy-two".