538633387011500 has 192 divisors, whose sum is σ = 1290141360668160. Its totient is φ = 194825826720000.

The previous prime is 538633387011481. The next prime is 538633387011563. The reversal of 538633387011500 is 5110783336835.

It is a happy number.

It is a super-2 number, since 2×538633387011500² (a number of 30 digits) contains 22 as substring.

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, 4701249215 + ... + 4701363785.

It is an arithmetic number, because the mean of its divisors is an integer number (6719486253480).

Almost surely, 2^{538633387011500} is an apocalyptic number.

538633387011500 is a gapful number since it is divisible by the number (50) 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 538633387011500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645070680334080).

538633387011500 is an abundant number, since it is smaller than the sum of its proper divisors (751507973656660).

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

538633387011500 is a wasteful number, since it uses less digits than its factorization.

538633387011500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119137 (or 119125 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 538633387011500 in words is "five hundred thirty-eight trillion, six hundred thirty-three billion, three hundred eighty-seven million, eleven thousand, five hundred".