8082452332800 has 1728 divisors, whose sum is σ = 31533981696000. Its totient is φ = 2022838272000.

The previous prime is 8082452332781. The next prime is 8082452332813. The reversal of 8082452332800 is 82332542808.

It is a happy number.

8082452332800 is a `hidden beast` number, since 80 + 8 + 24 + 523 + 3 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30046291066 + ... + 30046291334.

It is an arithmetic number, because the mean of its divisors is an integer number (18248832000).

Almost surely, 2^{8082452332800} is an apocalyptic number.

8082452332800 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 8082452332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766990848000).

8082452332800 is an abundant number, since it is smaller than the sum of its proper divisors (23451529363200).

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

8082452332800 is a wasteful number, since it uses less digits than its factorization.

8082452332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 8082452332800 in words is "eight trillion, eighty-two billion, four hundred fifty-two million, three hundred thirty-two thousand, eight hundred".