538609669920 has 1296 divisors, whose sum is σ = 2313821234088. Its totient is φ = 113706270720.

The previous prime is 538609669877. The next prime is 538609669943. The reversal of 538609669920 is 29966906835.

538609669920 is a `hidden beast` number, since 538 + 6 + 0 + 9 + 6 + 6 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4663797264 + 533945872656 = 68292^2 + 730716^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1243902024 + ... + 1243902456.

Almost surely, 2^538609669920 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 538609669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156910617044).

538609669920 is an abundant number, since it is smaller than the sum of its proper divisors (1775211564168).

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

538609669920 is a wasteful number, since it uses less digits than its factorization.

538609669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 538609669920 in words is "five hundred thirty-eight billion, six hundred nine million, six hundred sixty-nine thousand, nine hundred twenty".