89837301120 has 256 divisors, whose sum is σ = 328332026880. Its totient is φ = 20467261440.

The previous prime is 89837301109. The next prime is 89837301157. The reversal of 89837301120 is 2110373898.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4169094 + ... + 4190586.

It is an arithmetic number, because the mean of its divisors is an integer number (1282546980).

Almost surely, 2^89837301120 is an apocalyptic number.

89837301120 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 89837301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164166013440).

89837301120 is an abundant number, since it is smaller than the sum of its proper divisors (238494725760).

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

89837301120 is a wasteful number, since it uses less digits than its factorization.

89837301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21833 (or 21821 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 89837301120 in words is "eighty-nine billion, eight hundred thirty-seven million, three hundred one thousand, one hundred twenty".