89407026144 has 288 divisors, whose sum is σ = 282392562816. Its totient is φ = 26707968000.

The previous prime is 89407026139. The next prime is 89407026157. The reversal of 89407026144 is 44162070498.

89407026144 is a `hidden beast` number, since 89 + 407 + 0 + 26 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 89407026144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8508894 + ... + 8519394.

It is an arithmetic number, because the mean of its divisors is an integer number (980529732).

Almost surely, 2^89407026144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89407026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141196281408).

89407026144 is an abundant number, since it is smaller than the sum of its proper divisors (192985536672).

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

89407026144 is a wasteful number, since it uses less digits than its factorization.

89407026144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 89407026144 in words is "eighty-nine billion, four hundred seven million, twenty-six thousand, one hundred forty-four".