89781280512 has 288 divisors, whose sum is σ = 298640369664. Its totient is φ = 23262720000.

The previous prime is 89781280499. The next prime is 89781280513. The reversal of 89781280512 is 21508218798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89781280513) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27614887 + ... + 27618137.

It is an arithmetic number, because the mean of its divisors is an integer number (1036945728).

Almost surely, 2^89781280512 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 89781280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149320184832).

89781280512 is an abundant number, since it is smaller than the sum of its proper divisors (208859089152).

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

89781280512 is a wasteful number, since it uses less digits than its factorization.

89781280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 89781280512 in words is "eighty-nine billion, seven hundred eighty-one million, two hundred eighty thousand, five hundred twelve".