81300890160 has 960 divisors, whose sum is σ = 341978112000. Its totient is φ = 17679513600.

The previous prime is 81300890149. The next prime is 81300890173. The reversal of 81300890160 is 6109800318.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 232953666 + ... + 232954014.

It is an arithmetic number, because the mean of its divisors is an integer number (356227200).

Almost surely, 2^81300890160 is an apocalyptic number.

81300890160 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 81300890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056000).

81300890160 is an abundant number, since it is smaller than the sum of its proper divisors (260677221840).

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

81300890160 is a wasteful number, since it uses less digits than its factorization.

81300890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 81300890160 in words is "eighty-one billion, three hundred million, eight hundred ninety thousand, one hundred sixty".