89337501720000 has 2520 divisors, whose sum is σ = 361564766651088. Its totient is φ = 21781094400000.

The previous prime is 89337501719971. The next prime is 89337501720011. The reversal of 89337501720000 is 2710573398.

It is a happy number.

89337501720000 is a `hidden beast` number, since 8 + 93 + 37 + 501 + 7 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 884529719950 + ... + 884529720050.

Almost surely, 2^{89337501720000} is an apocalyptic number.

89337501720000 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 89337501720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180782383325544).

89337501720000 is an abundant number, since it is smaller than the sum of its proper divisors (272227264931088).

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

89337501720000 is an equidigital number, since it uses as much as digits as its factorization.

89337501720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 89337501720000 in words is "eighty-nine trillion, three hundred thirty-seven billion, five hundred one million, seven hundred twenty thousand".