89068761600 has 960 divisors, whose sum is σ = 368256430080. Its totient is φ = 18476236800.

The previous prime is 89068761571. The next prime is 89068761611. The reversal of 89068761600 is 616786098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248102221 + ... + 248102579.

It is an arithmetic number, because the mean of its divisors is an integer number (383600448).

Almost surely, 2^89068761600 is an apocalyptic number.

89068761600 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 89068761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184128215040).

89068761600 is an abundant number, since it is smaller than the sum of its proper divisors (279187668480).

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

89068761600 is a wasteful number, since it uses less digits than its factorization.

89068761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 89068761600 in words is "eighty-nine billion, sixty-eight million, seven hundred sixty-one thousand, six hundred".