82511647920 has 400 divisors, whose sum is σ = 312364194912. Its totient is φ = 20064153600.

The previous prime is 82511647879. The next prime is 82511647993. The reversal of 82511647920 is 2974611528.

82511647920 is a `hidden beast` number, since 8 + 2 + 511 + 6 + 47 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 6986020 + ... + 6997820.

Almost surely, 2^82511647920 is an apocalyptic number.

82511647920 is a gapful number since it is divisible by the number (80) 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 82511647920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156182097456).

82511647920 is an abundant number, since it is smaller than the sum of its proper divisors (229852546992).

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

82511647920 is a wasteful number, since it uses less digits than its factorization.

82511647920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11922 (or 11907 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 82511647920 in words is "eighty-two billion, five hundred eleven million, six hundred forty-seven thousand, nine hundred twenty".