89766056688 has 480 divisors, whose sum is σ = 302609203200. Its totient is φ = 22273574400.

The previous prime is 89766056687. The next prime is 89766056693. The reversal of 89766056688 is 88665066798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89766056687) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 451085613 + ... + 451085811.

It is an arithmetic number, because the mean of its divisors is an integer number (630435840).

Almost surely, 2^89766056688 is an apocalyptic number.

89766056688 is a gapful number since it is divisible by the number (88) 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 89766056688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151304601600).

89766056688 is an abundant number, since it is smaller than the sum of its proper divisors (212843146512).

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

89766056688 is a wasteful number, since it uses less digits than its factorization.

89766056688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 89766056688 in words is "eighty-nine billion, seven hundred sixty-six million, fifty-six thousand, six hundred eighty-eight".