538983510480 has 640 divisors, whose sum is σ = 1941265751040. Its totient is φ = 137341992960.

The previous prime is 538983510473. The next prime is 538983510491. The reversal of 538983510480 is 84015389835.

538983510480 is a `hidden beast` number, since 5 + 3 + 8 + 9 + 83 + 510 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1700263282 + ... + 1700263598.

It is an arithmetic number, because the mean of its divisors is an integer number (3033227736).

Almost surely, 2^538983510480 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 538983510480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970632875520).

538983510480 is an abundant number, since it is smaller than the sum of its proper divisors (1402282240560).

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

538983510480 is a wasteful number, since it uses less digits than its factorization.

538983510480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 538983510480 in words is "five hundred thirty-eight billion, nine hundred eighty-three million, five hundred ten thousand, four hundred eighty".