89600013000 has 640 divisors, whose sum is σ = 342486144000. Its totient is φ = 21752064000.

The previous prime is 89600012989. The next prime is 89600013023. The reversal of 89600013000 is 31000698.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42685951 + ... + 42688049.

It is an arithmetic number, because the mean of its divisors is an integer number (535134600).

Almost surely, 2^89600013000 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 89600013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171243072000).

89600013000 is an abundant number, since it is smaller than the sum of its proper divisors (252886131000).

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

89600013000 is a wasteful number, since it uses less digits than its factorization.

89600013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 89600013000 its reverse (31000698), we get a palindrome (89631013698).

The spelling of 89600013000 in words is "eighty-nine billion, six hundred million, thirteen thousand".