82455788800 has 972 divisors, whose sum is σ = 272365528428. Its totient is φ = 24600576000.

The previous prime is 82455788791. The next prime is 82455788801. The reversal of 82455788800 is 888755428.

It can be written as a sum of positive squares in 6 ways, for example, as 7651350784 + 74804438016 = 87472^2 + 273504^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82455788801) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1555769574 + ... + 1555769626.

It is an arithmetic number, because the mean of its divisors is an integer number (280211449).

Almost surely, 2^82455788800 is an apocalyptic number.

82455788800 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 82455788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136182764214).

82455788800 is an abundant number, since it is smaller than the sum of its proper divisors (189909739628).

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

82455788800 is a wasteful number, since it uses less digits than its factorization.

82455788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 55.

The spelling of 82455788800 in words is "eighty-two billion, four hundred fifty-five million, seven hundred eighty-eight thousand, eight hundred".