89335716121600 has 528 divisors, whose sum is σ = 253088954395200. Its totient is φ = 30973592862720.

The previous prime is 89335716121577. The next prime is 89335716121637. The reversal of 89335716121600 is 612161753398.

89335716121600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2483668416 + ... + 2483704384.

It is an arithmetic number, because the mean of its divisors is an integer number (479335140900).

Almost surely, 2^{89335716121600} is an apocalyptic number.

89335716121600 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 89335716121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126544477197600).

89335716121600 is an abundant number, since it is smaller than the sum of its proper divisors (163753238273600).

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

89335716121600 is a wasteful number, since it uses less digits than its factorization.

89335716121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36468 (or 36445 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

Adding to 89335716121600 its reverse (612161753398), we get a palindrome (89947877874998).

The spelling of 89335716121600 in words is "eighty-nine trillion, three hundred thirty-five billion, seven hundred sixteen million, one hundred twenty-one thousand, six hundred".