538500306024576 has 512 divisors, whose sum is σ = 1897552794009600. Its totient is φ = 147100172083200.

The previous prime is 538500306024511. The next prime is 538500306024647. The reversal of 538500306024576 is 675420603005835.

538500306024576 is a `hidden beast` number, since 5 + 3 + 8 + 5 + 0 + 0 + 3 + 0 + 60 + 2 + 4 + 576 = 666.

It is a super-3 number, since 3×538500306024576³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57920436 + ... + 66571596.

It is an arithmetic number, because the mean of its divisors is an integer number (3706157800800).

Almost surely, 2^{538500306024576} is an apocalyptic number.

538500306024576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538500306024576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948776397004800).

538500306024576 is an abundant number, since it is smaller than the sum of its proper divisors (1359052487985024).

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

538500306024576 is a wasteful number, since it uses less digits than its factorization.

538500306024576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651305 (or 8651287 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 538500306024576 in words is "five hundred thirty-eight trillion, five hundred billion, three hundred six million, twenty-four thousand, five hundred seventy-six".