81022888080 has 240 divisors, whose sum is σ = 289145426544. Its totient is φ = 20261928960.

The previous prime is 81022888069. The next prime is 81022888091. The reversal of 81022888080 is 8088822018.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81022888069) and next prime (81022888091).

It can be written as a sum of positive squares in 8 ways, for example, as 3295678464 + 77727209616 = 57408^2 + 278796^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3427662 + ... + 3451218.

Almost surely, 2^81022888080 is an apocalyptic number.

81022888080 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 81022888080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144572713272).

81022888080 is an abundant number, since it is smaller than the sum of its proper divisors (208122538464).

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

81022888080 is a wasteful number, since it uses less digits than its factorization.

81022888080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23874 (or 23865 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The spelling of 81022888080 in words is "eighty-one billion, twenty-two million, eight hundred eighty-eight thousand, eighty".