96775077888 has 480 divisors, whose sum is σ = 308165361570. Its totient is φ = 30257971200.

The previous prime is 96775077881. The next prime is 96775077941. The reversal of 96775077888 is 88877057769.

It can be written as a sum of positive squares in only one way, i.e., 57969229824 + 38805848064 = 240768^2 + 196992^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (96775077881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 958169038 + ... + 958169138.

Almost surely, 2^96775077888 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 96775077888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154082680785).

96775077888 is an abundant number, since it is smaller than the sum of its proper divisors (211390283682).

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

96775077888 is an equidigital number, since it uses as much as digits as its factorization.

96775077888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 96775077888 in words is "ninety-six billion, seven hundred seventy-five million, seventy-seven thousand, eight hundred eighty-eight".