82582089600 has 96 divisors (see below), whose sum is σ = 272004789240. Its totient is φ = 22021888000.

The previous prime is 82582089593. The next prime is 82582089637. The reversal of 82582089600 is 698028528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82582089600.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4291551 + ... + 4310750.

Almost surely, 2^82582089600 is an apocalyptic number.

82582089600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82582089600 is an abundant number, since it is smaller than the sum of its proper divisors (189422699640).

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

82582089600 is a wasteful number, since it uses less digits than its factorization.

82582089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602328 (or 8602311 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 82582089600 in words is "eighty-two billion, five hundred eighty-two million, eighty-nine thousand, six hundred".