81359417088 has 432 divisors, whose sum is σ = 260346078720. Its totient is φ = 25250807808.

The previous prime is 81359417047. The next prime is 81359417119. The reversal of 81359417088 is 88071495318.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113155993 + ... + 113156711.

It is an arithmetic number, because the mean of its divisors is an integer number (602652960).

Almost surely, 2^81359417088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81359417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130173039360).

81359417088 is an abundant number, since it is smaller than the sum of its proper divisors (178986661632).

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

81359417088 is a wasteful number, since it uses less digits than its factorization.

81359417088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 81359417088 in words is "eighty-one billion, three hundred fifty-nine million, four hundred seventeen thousand, eighty-eight".