89978996889600 has 2304 divisors, whose sum is σ = 395829215308800. Its totient is φ = 17497388482560.

The previous prime is 89978996889599. The next prime is 89978996889611. The reversal of 89978996889600 is 698869987998.

It is a Harshad number since it is a multiple of its sum of digits (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9826248222 + ... + 9826257378.

It is an arithmetic number, because the mean of its divisors is an integer number (171800874700).

Almost surely, 2^{89978996889600} is an apocalyptic number.

89978996889600 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 89978996889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197914607654400).

89978996889600 is an abundant number, since it is smaller than the sum of its proper divisors (305850218419200).

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

89978996889600 is a wasteful number, since it uses less digits than its factorization.

89978996889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9268 (or 9243 counting only the distinct ones).

The product of its (nonzero) digits is 60949905408, while the sum is 96.

The spelling of 89978996889600 in words is "eighty-nine trillion, nine hundred seventy-eight billion, nine hundred ninety-six million, eight hundred eighty-nine thousand, six hundred".