538234806528000 has 1536 divisors, whose sum is σ = 2145619554624000. Its totient is φ = 132657315840000.

The previous prime is 538234806527993. The next prime is 538234806528007. The reversal of 538234806528000 is 825608432835.

It is a happy number.

538234806528000 is a `hidden beast` number, since 5 + 3 + 8 + 2 + 34 + 80 + 6 + 528 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (538234806527993) and next prime (538234806528007).

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (538234806528007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5384398020 + ... + 5384497980.

It is an arithmetic number, because the mean of its divisors is an integer number (1396887730875).

Almost surely, 2^{538234806528000} is an apocalyptic number.

538234806528000 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 538234806528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072809777312000).

538234806528000 is an abundant number, since it is smaller than the sum of its proper divisors (1607384748096000).

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

538234806528000 is a wasteful number, since it uses less digits than its factorization.

538234806528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100067 (or 100031 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 538234806528000 in words is "five hundred thirty-eight trillion, two hundred thirty-four billion, eight hundred six million, five hundred twenty-eight thousand".