5938123000320 has 2880 divisors, whose sum is σ = 26879113198080. Its totient is φ = 1201834819584.

The previous prime is 5938123000307. The next prime is 5938123000393. The reversal of 5938123000320 is 230003218395.

5938123000320 is a `hidden beast` number, since 593 + 8 + 1 + 2 + 30 + 0 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×5938123000320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26159132047 + ... + 26159132273.

It is an arithmetic number, because the mean of its divisors is an integer number (9333025416).

Almost surely, 2^{5938123000320} 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 5938123000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439556599040).

5938123000320 is an abundant number, since it is smaller than the sum of its proper divisors (20940990197760).

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

5938123000320 is a wasteful number, since it uses less digits than its factorization.

5938123000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 5938123000320 in words is "five trillion, nine hundred thirty-eight billion, one hundred twenty-three million, three hundred twenty", and thus it is an aban number.