89200125208080 has 240 divisors, whose sum is σ = 310744510911744. Its totient is φ = 23780130232320.

The previous prime is 89200125208067. The next prime is 89200125208091. The reversal of 89200125208080 is 8080252100298.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 69954792 + ... + 71218488.

Almost surely, 2^{89200125208080} is an apocalyptic number.

89200125208080 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 89200125208080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155372255455872).

89200125208080 is an abundant number, since it is smaller than the sum of its proper divisors (221544385703664).

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

89200125208080 is a wasteful number, since it uses less digits than its factorization.

89200125208080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267356 (or 1267338 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 89200125208080 in words is "eighty-nine trillion, two hundred billion, one hundred twenty-five million, two hundred eight thousand, eighty".