89880319872 has 512 divisors, whose sum is σ = 310210560000. Its totient is φ = 25091389440.

The previous prime is 89880319819. The next prime is 89880319877. The reversal of 89880319872 is 27891308898.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89880319877) 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 63 ways as a sum of consecutive naturals, for example, 250362829 + ... + 250363187.

It is an arithmetic number, because the mean of its divisors is an integer number (605880000).

Almost surely, 2^89880319872 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 89880319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280000).

89880319872 is an abundant number, since it is smaller than the sum of its proper divisors (220330240128).

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

89880319872 is a wasteful number, since it uses less digits than its factorization.

89880319872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 89880319872 in words is "eighty-nine billion, eight hundred eighty million, three hundred nineteen thousand, eight hundred seventy-two".