89725830600000 has 2016 divisors, whose sum is σ = 356190294862080. Its totient is φ = 19864965120000.

The previous prime is 89725830599869. The next prime is 89725830600023. The reversal of 89725830600000 is 603852798.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 287 ways as a sum of consecutive naturals, for example, 138679799677 + ... + 138679800323.

It is an arithmetic number, because the mean of its divisors is an integer number (176681693880).

Almost surely, 2^{89725830600000} is an apocalyptic number.

89725830600000 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 89725830600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178095147431040).

89725830600000 is an abundant number, since it is smaller than the sum of its proper divisors (266464464262080).

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

89725830600000 is an equidigital number, since it uses as much as digits as its factorization.

89725830600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 89725830600000 in words is "eighty-nine trillion, seven hundred twenty-five billion, eight hundred thirty million, six hundred thousand".