89131778190 has 256 divisors, whose sum is σ = 292890931200. Its totient is φ = 18782959104.

The previous prime is 89131778173. The next prime is 89131778201. The reversal of 89131778190 is 9187713198.

It is a super-2 number, since 2×89131778190² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26853351 + ... + 26856669.

It is an arithmetic number, because the mean of its divisors is an integer number (1144105200).

Almost surely, 2^89131778190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89131778190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146445465600).

89131778190 is an abundant number, since it is smaller than the sum of its proper divisors (203759153010).

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

89131778190 is a wasteful number, since it uses less digits than its factorization.

89131778190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 89131778190 in words is "eighty-nine billion, one hundred thirty-one million, seven hundred seventy-eight thousand, one hundred ninety".