89257218120 has 576 divisors, whose sum is σ = 348217833600. Its totient is φ = 19758090240.

The previous prime is 89257218119. The next prime is 89257218173. The reversal of 89257218120 is 2181275298.

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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120780711 + ... + 120781449.

It is an arithmetic number, because the mean of its divisors is an integer number (604544850).

Almost surely, 2^89257218120 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 89257218120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174108916800).

89257218120 is an abundant number, since it is smaller than the sum of its proper divisors (258960615480).

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

89257218120 is a wasteful number, since it uses less digits than its factorization.

89257218120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 89257218120 in words is "eighty-nine billion, two hundred fifty-seven million, two hundred eighteen thousand, one hundred twenty".