8965600027776 has 1280 divisors, whose sum is σ = 32863092768000. Its totient is φ = 2368339181568.

The previous prime is 8965600027739. The next prime is 8965600027781. The reversal of 8965600027776 is 6777200065698.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 21920782260 + ... + 21920782668.

It is an arithmetic number, because the mean of its divisors is an integer number (25674291225).

Almost surely, 2^{8965600027776} 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 8965600027776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431546384000).

8965600027776 is an abundant number, since it is smaller than the sum of its proper divisors (23897492740224).

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

8965600027776 is a wasteful number, since it uses less digits than its factorization.

8965600027776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 8965600027776 in words is "eight trillion, nine hundred sixty-five billion, six hundred million, twenty-seven thousand, seven hundred seventy-six".