538343017920 has 168 divisors, whose sum is σ = 1851994853280. Its totient is φ = 143533393920.

The previous prime is 538343017909. The next prime is 538343017921. The reversal of 538343017920 is 29710343835.

538343017920 is a `hidden beast` number, since 53 + 83 + 430 + 1 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×538343017920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538343017921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21844005 + ... + 21868635.

Almost surely, 2^538343017920 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 538343017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925997426640).

538343017920 is an abundant number, since it is smaller than the sum of its proper divisors (1313651835360).

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

538343017920 is a wasteful number, since it uses less digits than its factorization.

538343017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32243 (or 32230 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 538343017920 in words is "five hundred thirty-eight billion, three hundred forty-three million, seventeen thousand, nine hundred twenty".