96890568768 has 224 divisors, whose sum is σ = 326192083200. Its totient is φ = 27626876928.

The previous prime is 96890568739. The next prime is 96890568779. The reversal of 96890568768 is 86786509869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 96890568696 and 96890568705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6148996 + ... + 6164732.

Almost surely, 2^96890568768 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 96890568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163096041600).

96890568768 is an abundant number, since it is smaller than the sum of its proper divisors (229301514432).

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

96890568768 is a wasteful number, since it uses less digits than its factorization.

96890568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16274 (or 16258 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 96890568768 in words is "ninety-six billion, eight hundred ninety million, five hundred sixty-eight thousand, seven hundred sixty-eight".