89985106764 has 240 divisors, whose sum is σ = 278594426880. Its totient is φ = 24780712320.

The previous prime is 89985106721. The next prime is 89985106819. The reversal of 89985106764 is 46760158998.

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

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 79 ways as a sum of consecutive naturals, for example, 67810269 + ... + 67811595.

It is an arithmetic number, because the mean of its divisors is an integer number (1160810112).

Almost surely, 2^89985106764 is an apocalyptic number.

89985106764 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 89985106764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139297213440).

89985106764 is an abundant number, since it is smaller than the sum of its proper divisors (188609320116).

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

89985106764 is a wasteful number, since it uses less digits than its factorization.

89985106764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 89985106764 in words is "eighty-nine billion, nine hundred eighty-five million, one hundred six thousand, seven hundred sixty-four".