89442585120 has 576 divisors, whose sum is σ = 349975987200. Its totient is φ = 19088455680.

The previous prime is 89442585109. The next prime is 89442585131. The reversal of 89442585120 is 2158524498.

It is an interprime number because it is at equal distance from previous prime (89442585109) and next prime (89442585131).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 89442585120.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31727071 + ... + 31729889.

It is an arithmetic number, because the mean of its divisors is an integer number (607597200).

Almost surely, 2^89442585120 is an apocalyptic number.

89442585120 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 89442585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174987993600).

89442585120 is an abundant number, since it is smaller than the sum of its proper divisors (260533402080).

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

89442585120 is a wasteful number, since it uses less digits than its factorization.

89442585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 89442585120 in words is "eighty-nine billion, four hundred forty-two million, five hundred eighty-five thousand, one hundred twenty".