9973138800 has 120 divisors (see below), whose sum is σ = 32177662720. Its totient is φ = 2640326400.

The previous prime is 9973138783. The next prime is 9973138801. The reversal of 9973138800 is 88313799.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9973138800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973138801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136905 + ... + 196695.

Almost surely, 2^9973138800 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 9973138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088831360).

9973138800 is an abundant number, since it is smaller than the sum of its proper divisors (22204523920).

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

9973138800 is a wasteful number, since it uses less digits than its factorization.

9973138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59951 (or 59940 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 9973138800 is about 99865.6036881568. The cubic root of 9973138800 is about 2152.5039368838.

The spelling of 9973138800 in words is "nine billion, nine hundred seventy-three million, one hundred thirty-eight thousand, eight hundred".