82924484832000 has 2016 divisors, whose sum is σ = 369373690183680. Its totient is φ = 18129252556800.

The previous prime is 82924484831999. The next prime is 82924484832011. The reversal of 82924484832000 is 23848442928.

82924484832000 is a `hidden beast` number, since 82 + 9 + 2 + 4 + 484 + 83 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3755796961 + ... + 3755819039.

It is an arithmetic number, because the mean of its divisors is an integer number (183221076480).

Almost surely, 2^{82924484832000} is an apocalyptic number.

82924484832000 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 82924484832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184686845091840).

82924484832000 is an abundant number, since it is smaller than the sum of its proper divisors (286449205351680).

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

82924484832000 is an equidigital number, since it uses as much as digits as its factorization.

82924484832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22158 (or 22119 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 82924484832000 in words is "eighty-two trillion, nine hundred twenty-four billion, four hundred eighty-four million, eight hundred thirty-two thousand".