89129418000 has 640 divisors, whose sum is σ = 351547023360. Its totient is φ = 18973440000.

The previous prime is 89129417989. The next prime is 89129418017. The reversal of 89129418000 is 81492198.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48677085 + ... + 48678915.

It is an arithmetic number, because the mean of its divisors is an integer number (549292224).

Almost surely, 2^89129418000 is an apocalyptic number.

89129418000 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 89129418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175773511680).

89129418000 is an abundant number, since it is smaller than the sum of its proper divisors (262417605360).

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

89129418000 is a wasteful number, since it uses less digits than its factorization.

89129418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 89129418000 in words is "eighty-nine billion, one hundred twenty-nine million, four hundred eighteen thousand".