89811251712 has 1280 divisors, whose sum is σ = 351977472000. Its totient is φ = 22434693120.

The previous prime is 89811251711. The next prime is 89811251731. The reversal of 89811251712 is 21715211898.

89811251712 is a `hidden beast` number, since 8 + 9 + 8 + 112 + 517 + 12 = 666.

It is a super-3 number, since 3×89811251712³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89811251711) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1910877673 + ... + 1910877719.

It is an arithmetic number, because the mean of its divisors is an integer number (274982400).

Almost surely, 2^89811251712 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 89811251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988736000).

89811251712 is an abundant number, since it is smaller than the sum of its proper divisors (262166220288).

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

89811251712 is a wasteful number, since it uses less digits than its factorization.

89811251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 103 counting only the distinct ones).

The product of its digits is 80640, while the sum is 45.

The spelling of 89811251712 in words is "eighty-nine billion, eight hundred eleven million, two hundred fifty-one thousand, seven hundred twelve".