96896071680 has 384 divisors, whose sum is σ = 316936488960. Its totient is φ = 25268060160.

The previous prime is 96896071561. The next prime is 96896071681. The reversal of 96896071680 is 8617069869.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96896071681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357549945 + ... + 357550215.

It is an arithmetic number, because the mean of its divisors is an integer number (825355440).

Almost surely, 2^96896071680 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 96896071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158468244480).

96896071680 is an abundant number, since it is smaller than the sum of its proper divisors (220040417280).

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

96896071680 is a wasteful number, since it uses less digits than its factorization.

96896071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 96896071680 in words is "ninety-six billion, eight hundred ninety-six million, seventy-one thousand, six hundred eighty".