89441892120 has 256 divisors, whose sum is σ = 311351040000. Its totient is φ = 20132868096.

The previous prime is 89441892101. The next prime is 89441892139. The reversal of 89441892120 is 2129814498.

It is an interprime number because it is at equal distance from previous prime (89441892101) and next prime (89441892139).

It is a self number, because there is not a number n which added to its sum of digits gives 89441892120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19659606 + ... + 19664154.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215000).

Almost surely, 2^89441892120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89441892120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520000).

89441892120 is an abundant number, since it is smaller than the sum of its proper divisors (221909147880).

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

89441892120 is a wasteful number, since it uses less digits than its factorization.

89441892120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 89441892120 in words is "eighty-nine billion, four hundred forty-one million, eight hundred ninety-two thousand, one hundred twenty".