81411130080 has 960 divisors, whose sum is σ = 350916572160. Its totient is φ = 17360510976.

The previous prime is 81411130067. The next prime is 81411130103. The reversal of 81411130080 is 8003111418.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125828317 + ... + 125828963.

It is an arithmetic number, because the mean of its divisors is an integer number (365538096).

Almost surely, 2^81411130080 is an apocalyptic number.

81411130080 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 81411130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175458286080).

81411130080 is an abundant number, since it is smaller than the sum of its proper divisors (269505442080).

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

81411130080 is a wasteful number, since it uses less digits than its factorization.

81411130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 81411130080 its reverse (8003111418), we get a palindrome (89414241498).

The spelling of 81411130080 in words is "eighty-one billion, four hundred eleven million, one hundred thirty thousand, eighty".