96121638600 has 384 divisors, whose sum is σ = 325400423040. Its totient is φ = 23331594240.

The previous prime is 96121638577. The next prime is 96121638643. The reversal of 96121638600 is 683612169.

96121638600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313099647 + ... + 313099953.

It is an arithmetic number, because the mean of its divisors is an integer number (847396935).

Almost surely, 2^96121638600 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 96121638600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162700211520).

96121638600 is an abundant number, since it is smaller than the sum of its proper divisors (229278784440).

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

96121638600 is a wasteful number, since it uses less digits than its factorization.

96121638600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 96121638600 in words is "ninety-six billion, one hundred twenty-one million, six hundred thirty-eight thousand, six hundred".