96938688000 has 1280 divisors, whose sum is σ = 411813642240. Its totient is φ = 19648512000.

The previous prime is 96938687977. The next prime is 96938688137. The reversal of 96938688000 is 88683969.

96938688000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×96938688000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1167935959 + ... + 1167936041.

It is an arithmetic number, because the mean of its divisors is an integer number (321729408).

Almost surely, 2^96938688000 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 96938688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205906821120).

96938688000 is an abundant number, since it is smaller than the sum of its proper divisors (314874954240).

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

96938688000 is a wasteful number, since it uses less digits than its factorization.

96938688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 96938688000 in words is "ninety-six billion, nine hundred thirty-eight million, six hundred eighty-eight thousand".