89097382080 has 1680 divisors, whose sum is σ = 397316858400. Its totient is φ = 18858147840.

The previous prime is 89097382079. The next prime is 89097382097. The reversal of 89097382080 is 8028379098.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 239 ways as a sum of consecutive naturals, for example, 1510125091 + ... + 1510125149.

It is an arithmetic number, because the mean of its divisors is an integer number (236498130).

Almost surely, 2^89097382080 is an apocalyptic number.

89097382080 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 89097382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198658429200).

89097382080 is an abundant number, since it is smaller than the sum of its proper divisors (308219476320).

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

89097382080 is a wasteful number, since it uses less digits than its factorization.

89097382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 89097382080 in words is "eighty-nine billion, ninety-seven million, three hundred eighty-two thousand, eighty".