89244077760 has 168 divisors, whose sum is σ = 307299335616. Its totient is φ = 23772303360.

The previous prime is 89244077753. The next prime is 89244077773. The reversal of 89244077760 is 6777044298.

It is a junction number, because it is equal to n+sod(n) for n = 89244077697 and 89244077706.

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 23 ways as a sum of consecutive naturals, for example, 2682025 + ... + 2715095.

It is an arithmetic number, because the mean of its divisors is an integer number (1829162712).

Almost surely, 2^89244077760 is an apocalyptic number.

89244077760 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 89244077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153649667808).

89244077760 is an abundant number, since it is smaller than the sum of its proper divisors (218055257856).

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

89244077760 is a wasteful number, since it uses less digits than its factorization.

89244077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34031 (or 34018 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 89244077760 in words is "eighty-nine billion, two hundred forty-four million, seventy-seven thousand, seven hundred sixty".