82181882880 has 704 divisors, whose sum is σ = 305866997760. Its totient is φ = 20901888000.

The previous prime is 82181882873. The next prime is 82181882903. The reversal of 82181882880 is 8828818128.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544250805 + ... + 544250955.

Almost surely, 2^82181882880 is an apocalyptic number.

82181882880 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 82181882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152933498880).

82181882880 is an abundant number, since it is smaller than the sum of its proper divisors (223685114880).

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

82181882880 is a wasteful number, since it uses less digits than its factorization.

82181882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 54.

The spelling of 82181882880 in words is "eighty-two billion, one hundred eighty-one million, eight hundred eighty-two thousand, eight hundred eighty".