89313902890368 has 256 divisors, whose sum is σ = 268960601280000. Its totient is φ = 26032449503232.

The previous prime is 89313902890327. The next prime is 89313902890411. The reversal of 89313902890368 is 86309820931398.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225304868 + ... + 1225377756.

It is an arithmetic number, because the mean of its divisors is an integer number (1050627348750).

Almost surely, 2^{89313902890368} 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 89313902890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134480300640000).

89313902890368 is an abundant number, since it is smaller than the sum of its proper divisors (179646698389632).

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

89313902890368 is a wasteful number, since it uses less digits than its factorization.

89313902890368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85857 (or 85845 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 69.

The spelling of 89313902890368 in words is "eighty-nine trillion, three hundred thirteen billion, nine hundred two million, eight hundred ninety thousand, three hundred sixty-eight".