89685433277440 has 1408 divisors, whose sum is σ = 299456933529600. Its totient is φ = 24870141296640.

The previous prime is 89685433277431. The next prime is 89685433277467. The reversal of 89685433277440 is 4477233458698.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 89685433277440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20669606791 + ... + 20669611129.

It is an arithmetic number, because the mean of its divisors is an integer number (212682481200).

Almost surely, 2^{89685433277440} is an apocalyptic number.

89685433277440 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 89685433277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149728466764800).

89685433277440 is an abundant number, since it is smaller than the sum of its proper divisors (209771500252160).

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

89685433277440 is a wasteful number, since it uses less digits than its factorization.

89685433277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 70.

The spelling of 89685433277440 in words is "eighty-nine trillion, six hundred eighty-five billion, four hundred thirty-three million, two hundred seventy-seven thousand, four hundred forty".