82984849920 has 1920 divisors, whose sum is σ = 386075289600. Its totient is φ = 16625958912.

The previous prime is 82984849859. The next prime is 82984849999. The reversal of 82984849920 is 2994848928.

82984849920 is a `hidden beast` number, since 82 + 9 + 8 + 48 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 191 ways as a sum of consecutive naturals, for example, 1406522851 + ... + 1406522909.

It is an arithmetic number, because the mean of its divisors is an integer number (201080880).

Almost surely, 2^82984849920 is an apocalyptic number.

82984849920 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 82984849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193037644800).

82984849920 is an abundant number, since it is smaller than the sum of its proper divisors (303090439680).

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

82984849920 is a wasteful number, since it uses less digits than its factorization.

82984849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 82984849920 in words is "eighty-two billion, nine hundred eighty-four million, eight hundred forty-nine thousand, nine hundred twenty".