82489584100 has 243 divisors, whose sum is σ = 229493176731. Its totient is φ = 25642108800.

The previous prime is 82489584097. The next prime is 82489584131. The reversal of 82489584100 is 148598428.

The square root of 82489584100 is 287210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 794225124 + 81695358976 = 28182^2 + 285824^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 80 ways as a sum of consecutive naturals, for example, 221151514 + ... + 221151886.

Almost surely, 2^82489584100 is an apocalyptic number.

82489584100 is the 287210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82489584100

82489584100 is an abundant number, since it is smaller than the sum of its proper divisors (147003592631).

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

82489584100 is a wasteful number, since it uses less digits than its factorization.

82489584100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

Multiplying 82489584100 by its sum of digits (49), we get a square (4041989620900 = 2010470²).

82489584100 divided by its sum of digits (49) gives a square (1683460900 = 41030²).

The spelling of 82489584100 in words is "eighty-two billion, four hundred eighty-nine million, five hundred eighty-four thousand, one hundred".