89591349120 has 1536 divisors, whose sum is σ = 393826406400. Its totient is φ = 17093099520.

The previous prime is 89591349091. The next prime is 89591349139. The reversal of 89591349120 is 2194319598.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 191 ways as a sum of consecutive naturals, for example, 644542011 + ... + 644542149.

It is an arithmetic number, because the mean of its divisors is an integer number (256397400).

Almost surely, 2^89591349120 is an apocalyptic number.

89591349120 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 89591349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196913203200).

89591349120 is an abundant number, since it is smaller than the sum of its proper divisors (304235057280).

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

89591349120 is a wasteful number, since it uses less digits than its factorization.

89591349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 89591349120 in words is "eighty-nine billion, five hundred ninety-one million, three hundred forty-nine thousand, one hundred twenty".