89966757888 has 384 divisors, whose sum is σ = 312058656000. Its totient is φ = 25073418240.

The previous prime is 89966757851. The next prime is 89966757919. The reversal of 89966757888 is 88875766998.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15867118 + ... + 15872786.

It is an arithmetic number, because the mean of its divisors is an integer number (812652750).

Almost surely, 2^89966757888 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 89966757888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328000).

89966757888 is an abundant number, since it is smaller than the sum of its proper divisors (222091898112).

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

89966757888 is a wasteful number, since it uses less digits than its factorization.

89966757888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5722 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 81.

The spelling of 89966757888 in words is "eighty-nine billion, nine hundred sixty-six million, seven hundred fifty-seven thousand, eight hundred eighty-eight".