538791711120 has 1120 divisors, whose sum is σ = 2154438357120. Its totient is φ = 124157214720.

The previous prime is 538791711049. The next prime is 538791711169. The reversal of 538791711120 is 21117197835.

538791711120 is a `hidden beast` number, since 5 + 387 + 91 + 71 + 112 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1627769355 + ... + 1627769685.

It is an arithmetic number, because the mean of its divisors is an integer number (1923605676).

Almost surely, 2^538791711120 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 538791711120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077219178560).

538791711120 is an abundant number, since it is smaller than the sum of its proper divisors (1615646646000).

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

538791711120 is a wasteful number, since it uses less digits than its factorization.

538791711120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 538791711120 in words is "five hundred thirty-eight billion, seven hundred ninety-one million, seven hundred eleven thousand, one hundred twenty".