82532482400 has 144 divisors (see below), whose sum is σ = 211014556704. Its totient is φ = 31461703680.

The previous prime is 82532482399. The next prime is 82532482429. The reversal of 82532482400 is 428423528.

It is a super-2 number, since 2×82532482400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5088704 + ... + 5104896.

It is an arithmetic number, because the mean of its divisors is an integer number (1465378866).

Almost surely, 2^82532482400 is an apocalyptic number.

82532482400 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 82532482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105507278352).

82532482400 is an abundant number, since it is smaller than the sum of its proper divisors (128482074304).

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

82532482400 is a wasteful number, since it uses less digits than its factorization.

82532482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16513 (or 16500 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The spelling of 82532482400 in words is "eighty-two billion, five hundred thirty-two million, four hundred eighty-two thousand, four hundred".