96960353616 has 320 divisors, whose sum is σ = 325045862400. Its totient is φ = 27100168704.

The previous prime is 96960353591. The next prime is 96960353617. The reversal of 96960353616 is 61635306969.

96960353616 is a `hidden beast` number, since 9 + 6 + 96 + 0 + 3 + 536 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96960353617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39785550 + ... + 39787986.

It is an arithmetic number, because the mean of its divisors is an integer number (1015768320).

Almost surely, 2^96960353616 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 96960353616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162522931200).

96960353616 is an abundant number, since it is smaller than the sum of its proper divisors (228085508784).

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

96960353616 is a wasteful number, since it uses less digits than its factorization.

96960353616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 96960353616 in words is "ninety-six billion, nine hundred sixty million, three hundred fifty-three thousand, six hundred sixteen".