82914370560 has 1056 divisors, whose sum is σ = 351929410560. Its totient is φ = 17629249536.

The previous prime is 82914370543. The next prime is 82914370571. The reversal of 82914370560 is 6507341928.

82914370560 is a `hidden beast` number, since 8 + 2 + 9 + 14 + 3 + 70 + 560 = 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508677039 + ... + 508677201.

It is a 1-persistent number, because it is pandigital, but 2⋅82914370560 = 165828741120 is not.

Almost surely, 2^82914370560 is an apocalyptic number.

82914370560 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 82914370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175964705280).

82914370560 is an abundant number, since it is smaller than the sum of its proper divisors (269015040000).

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

82914370560 is a wasteful number, since it uses less digits than its factorization.

82914370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 82914370560 in words is "eighty-two billion, nine hundred fourteen million, three hundred seventy thousand, five hundred sixty".