89090919571200 has 432 divisors, whose sum is σ = 294951126919680. Its totient is φ = 23682352087040.

The previous prime is 89090919571193. The next prime is 89090919571219. The reversal of 89090919571200 is 217591909098.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8186240959 + ... + 8186251841.

It is an arithmetic number, because the mean of its divisors is an integer number (682757238240).

Almost surely, 2^{89090919571200} is an apocalyptic number.

89090919571200 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 89090919571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147475563459840).

89090919571200 is an abundant number, since it is smaller than the sum of its proper divisors (205860207348480).

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

89090919571200 is a wasteful number, since it uses less digits than its factorization.

89090919571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12224 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 60.

The spelling of 89090919571200 in words is "eighty-nine trillion, ninety billion, nine hundred nineteen million, five hundred seventy-one thousand, two hundred".