538236002304 has 2016 divisors, whose sum is σ = 2296776021120. Its totient is φ = 121456558080.

The previous prime is 538236002279. The next prime is 538236002309. The reversal of 538236002304 is 403200632835.

It is a happy number.

538236002304 is a `hidden beast` number, since 5 + 3 + 8 + 23 + 600 + 23 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (538236002309) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31660941304 + ... + 31660941320.

It is an arithmetic number, because the mean of its divisors is an integer number (1139273820).

Almost surely, 2^538236002304 is an apocalyptic number.

538236002304 is a gapful number since it is divisible by the number (54) 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 538236002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148388010560).

538236002304 is an abundant number, since it is smaller than the sum of its proper divisors (1758540018816).

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

538236002304 is a wasteful number, since it uses less digits than its factorization.

538236002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 538236002304 in words is "five hundred thirty-eight billion, two hundred thirty-six million, two thousand, three hundred four".