89506931305600 has 192 divisors, whose sum is σ = 223917750936000. Its totient is φ = 35350895923200.

The previous prime is 89506931305591. The next prime is 89506931305601. The reversal of 89506931305600 is 650313960598.

It is a happy number.

It is a super-2 number, since 2×89506931305600² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89506931305601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82884322 + ... + 83957278.

It is an arithmetic number, because the mean of its divisors is an integer number (1166238286125).

Almost surely, 2^{89506931305600} is an apocalyptic number.

89506931305600 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 89506931305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111958875468000).

89506931305600 is an abundant number, since it is smaller than the sum of its proper divisors (134410819630400).

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

89506931305600 is a wasteful number, since it uses less digits than its factorization.

89506931305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073311 (or 1073294 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 55.

The spelling of 89506931305600 in words is "eighty-nine trillion, five hundred six billion, nine hundred thirty-one million, three hundred five thousand, six hundred".