96607577760 has 192 divisors, whose sum is σ = 308377964160. Its totient is φ = 25418792960.

The previous prime is 96607577743. The next prime is 96607577767. The reversal of 96607577760 is 6777570669.

It is a super-3 number, since 3×96607577760³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 96607577694 and 96607577703.

It is not an unprimeable number, because it can be changed into a prime (96607577767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56133700 + ... + 56135420.

It is an arithmetic number, because the mean of its divisors is an integer number (1606135230).

Almost surely, 2^96607577760 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 96607577760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154188982080).

96607577760 is an abundant number, since it is smaller than the sum of its proper divisors (211770386400).

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

96607577760 is a wasteful number, since it uses less digits than its factorization.

96607577760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 23337720, while the sum is 60.

The spelling of 96607577760 in words is "ninety-six billion, six hundred seven million, five hundred seventy-seven thousand, seven hundred sixty".