89388120000 has 560 divisors, whose sum is σ = 311939147520. Its totient is φ = 22539264000.

The previous prime is 89388119999. The next prime is 89388120001. The reversal of 89388120000 is 2188398.

It is an interprime number because it is at equal distance from previous prime (89388119999) and next prime (89388120001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89388120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 383639884 + ... + 383640116.

It is an arithmetic number, because the mean of its divisors is an integer number (557034192).

Almost surely, 2^89388120000 is an apocalyptic number.

89388120000 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 89388120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155969573760).

89388120000 is an abundant number, since it is smaller than the sum of its proper divisors (222551027520).

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

89388120000 is a wasteful number, since it uses less digits than its factorization.

89388120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 89388120000 in words is "eighty-nine billion, three hundred eighty-eight million, one hundred twenty thousand".