89250336000 has 720 divisors, whose sum is σ = 379652232960. Its totient is φ = 20395929600.

The previous prime is 89250335929. The next prime is 89250336001. The reversal of 89250336000 is 63305298.

89250336000 is a `hidden beast` number, since 8 + 92 + 503 + 3 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×89250336000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89250336001) 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, 18141541 + ... + 18146459.

It is an arithmetic number, because the mean of its divisors is an integer number (527294768).

Almost surely, 2^89250336000 is an apocalyptic number.

89250336000 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 89250336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189826116480).

89250336000 is an abundant number, since it is smaller than the sum of its proper divisors (290401896960).

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

89250336000 is an equidigital number, since it uses as much as digits as its factorization.

89250336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 89250336000 in words is "eighty-nine billion, two hundred fifty million, three hundred thirty-six thousand".