82848337920 has 208 divisors, whose sum is σ = 294537875520. Its totient is φ = 22092742656.

The previous prime is 82848337909. The next prime is 82848337963. The reversal of 82848337920 is 2973384828.

82848337920 is a `hidden beast` number, since 8 + 284 + 8 + 337 + 9 + 20 = 666.

It is a super-2 number, since 2×82848337920² (a number of 23 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 478047 + ... + 627873.

Almost surely, 2^82848337920 is an apocalyptic number.

82848337920 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 82848337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147268937760).

82848337920 is an abundant number, since it is smaller than the sum of its proper divisors (211689537600).

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

82848337920 is a wasteful number, since it uses less digits than its factorization.

82848337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149865 (or 149837 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 82848337920 in words is "eighty-two billion, eight hundred forty-eight million, three hundred thirty-seven thousand, nine hundred twenty".