89690788191984 has 240 divisors, whose sum is σ = 281262811813632. Its totient is φ = 24510535289856.

The previous prime is 89690788191937. The next prime is 89690788191989. The reversal of 89690788191984 is 48919188709698.

It is a happy number.

89690788191984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 89690788191984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89690788191989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1769617107 + ... + 1769667789.

Almost surely, 2^{89690788191984} is an apocalyptic number.

89690788191984 is a gapful number since it is divisible by the number (84) 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 89690788191984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140631405906816).

89690788191984 is an abundant number, since it is smaller than the sum of its proper divisors (191572023621648).

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

89690788191984 is a wasteful number, since it uses less digits than its factorization.

89690788191984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83444 (or 83431 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 87.

The spelling of 89690788191984 in words is "eighty-nine trillion, six hundred ninety billion, seven hundred eighty-eight million, one hundred ninety-one thousand, nine hundred eighty-four".