89999910000000 has 6144 divisors, whose sum is σ = 462938564874240. Its totient is φ = 16796160000000.

The previous prime is 89999909999971. The next prime is 89999910000097. The reversal of 89999910000000 is 1999998.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89999909999892 and 89999909999901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2432429999982 + ... + 2432430000018.

It is an arithmetic number, because the mean of its divisors is an integer number (75348073710).

Almost surely, 2^{89999910000000} is an apocalyptic number.

89999910000000 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 89999910000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231469282437120).

89999910000000 is an abundant number, since it is smaller than the sum of its proper divisors (372938654874240).

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

89999910000000 is an frugal number, since it uses more digits than its factorization.

89999910000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 54.

Adding to 89999910000000 its reverse (1999998), we get a palindrome (89999911999998).

The spelling of 89999910000000 in words is "eighty-nine trillion, nine hundred ninety-nine billion, nine hundred ten million", and thus it is an aban number.