5238123675120 has 800 divisors, whose sum is σ = 21210949305216. Its totient is φ = 1173292646400.

The previous prime is 5238123675073. The next prime is 5238123675137. The reversal of 5238123675120 is 215763218325.

5238123675120 is a `hidden beast` number, since 5 + 2 + 3 + 8 + 123 + 6 + 7 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 777512392 + ... + 777519128.

Almost surely, 2^{5238123675120} 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 5238123675120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10605474652608).

5238123675120 is an abundant number, since it is smaller than the sum of its proper divisors (15972825630096).

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

5238123675120 is a wasteful number, since it uses less digits than its factorization.

5238123675120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5238123675120 in words is "five trillion, two hundred thirty-eight billion, one hundred twenty-three million, six hundred seventy-five thousand, one hundred twenty".