96178640000 has 320 divisors, whose sum is σ = 252139789440. Its totient is φ = 36461568000.

The previous prime is 96178639979. The next prime is 96178640017. The reversal of 96178640000 is 4687169.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 96178640000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307279844 + ... + 307280156.

It is an arithmetic number, because the mean of its divisors is an integer number (787936842).

Almost surely, 2^96178640000 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 96178640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126069894720).

96178640000 is an abundant number, since it is smaller than the sum of its proper divisors (155961149440).

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

96178640000 is a wasteful number, since it uses less digits than its factorization.

96178640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 96178640000 in words is "ninety-six billion, one hundred seventy-eight million, six hundred forty thousand".