97183128000 has 448 divisors, whose sum is σ = 367731007488. Its totient is φ = 22153420800.

The previous prime is 97183127989. The next prime is 97183128017. The reversal of 97183128000 is 82138179.

97183128000 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 (448).

It is a self number, because there is not a number n which added to its sum of digits gives 97183128000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101975524 + ... + 101976476.

Almost surely, 2^97183128000 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 97183128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183865503744).

97183128000 is an abundant number, since it is smaller than the sum of its proper divisors (270547879488).

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

97183128000 is a wasteful number, since it uses less digits than its factorization.

97183128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 97183128000 in words is "ninety-seven billion, one hundred eighty-three million, one hundred twenty-eight thousand".