89108969241600 has 1584 divisors, whose sum is σ = 399099539494656. Its totient is φ = 18454708224000.

The previous prime is 89108969241563. The next prime is 89108969241637. The reversal of 89108969241600 is 614296980198.

89108969241600 is a `hidden beast` number, since 8 + 9 + 10 + 8 + 9 + 6 + 9 + 2 + 4 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (89108969241563) and next prime (89108969241637).

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5446417420 + ... + 5446433780.

It is an arithmetic number, because the mean of its divisors is an integer number (251956779984).

Almost surely, 2^{89108969241600} is an apocalyptic number.

89108969241600 is a gapful number since it is divisible by the number (80) 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 89108969241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199549769747328).

89108969241600 is an abundant number, since it is smaller than the sum of its proper divisors (309990570253056).

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

89108969241600 is a wasteful number, since it uses less digits than its factorization.

89108969241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722 (or 16696 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 89108969241600 in words is "eighty-nine trillion, one hundred eight billion, nine hundred sixty-nine million, two hundred forty-one thousand, six hundred".