82044057600 has 720 divisors, whose sum is σ = 309173024160. Its totient is φ = 21499084800.

The previous prime is 82044057581. The next prime is 82044057617. The reversal of 82044057600 is 675044028.

82044057600 is a `hidden beast` number, since 8 + 2 + 0 + 4 + 40 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 302745465 + ... + 302745735.

It is an arithmetic number, because the mean of its divisors is an integer number (429406978).

Almost surely, 2^82044057600 is an apocalyptic number.

82044057600 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 82044057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586512080).

82044057600 is an abundant number, since it is smaller than the sum of its proper divisors (227128966560).

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

82044057600 is a wasteful number, since it uses less digits than its factorization.

82044057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 82044057600 in words is "eighty-two billion, forty-four million, fifty-seven thousand, six hundred".