89388965600 has 288 divisors, whose sum is σ = 253446278400. Its totient is φ = 30443212800.

The previous prime is 89388965591. The next prime is 89388965623. The reversal of 89388965600 is 656988398.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14877797 + ... + 14883803.

It is an arithmetic number, because the mean of its divisors is an integer number (880021800).

Almost surely, 2^89388965600 is an apocalyptic number.

89388965600 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 89388965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126723139200).

89388965600 is an abundant number, since it is smaller than the sum of its proper divisors (164057312800).

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

89388965600 is a wasteful number, since it uses less digits than its factorization.

89388965600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6133 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 62.

The spelling of 89388965600 in words is "eighty-nine billion, three hundred eighty-eight million, nine hundred sixty-five thousand, six hundred".