89290668855096 has 256 divisors, whose sum is σ = 264285255168000. Its totient is φ = 27882696199680.

The previous prime is 89290668855041. The next prime is 89290668855191. The reversal of 89290668855096 is 69055886609298.

89290668855096 is a `hidden beast` number, since 8 + 9 + 29 + 0 + 6 + 6 + 8 + 85 + 509 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 47892415 + ... + 49721873.

It is an arithmetic number, because the mean of its divisors is an integer number (1032364278000).

Almost surely, 2^{89290668855096} 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 89290668855096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132142627584000).

89290668855096 is an abundant number, since it is smaller than the sum of its proper divisors (174994586312904).

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

89290668855096 is a wasteful number, since it uses less digits than its factorization.

89290668855096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829739 (or 1829729 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 89290668855096 in words is "eighty-nine trillion, two hundred ninety billion, six hundred sixty-eight million, eight hundred fifty-five thousand, ninety-six".