81882120320 has 1152 divisors, whose sum is σ = 290974420800. Its totient is φ = 21598617600.

The previous prime is 81882120311. The next prime is 81882120329. The reversal of 81882120320 is 2302128818.

It is an interprime number because it is at equal distance from previous prime (81882120311) and next prime (81882120329).

It is a super-3 number, since 3×81882120320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (81882120329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2641358705 + ... + 2641358735.

Almost surely, 2^81882120320 is an apocalyptic number.

81882120320 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 81882120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145487210400).

81882120320 is an abundant number, since it is smaller than the sum of its proper divisors (209092300480).

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

81882120320 is a wasteful number, since it uses less digits than its factorization.

81882120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

It can be divided in two parts, 81882 and 120320, that added together give a palindrome (202202).

The spelling of 81882120320 in words is "eighty-one billion, eight hundred eighty-two million, one hundred twenty thousand, three hundred twenty".