538461053338320 has 480 divisors, whose sum is σ = 2081013190274304. Its totient is φ = 122224553164800.

The previous prime is 538461053338319. The next prime is 538461053338343. The reversal of 538461053338320 is 23833350164835.

It is a happy number.

538461053338320 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 6 + 1 + 0 + 533 + 3 + 83 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554938390 + ... + 555907850.

Almost surely, 2^{538461053338320} 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 538461053338320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040506595137152).

538461053338320 is an abundant number, since it is smaller than the sum of its proper divisors (1542552136935984).

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

538461053338320 is a wasteful number, since it uses less digits than its factorization.

538461053338320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970251 (or 970242 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 538461053338320 in words is "five hundred thirty-eight trillion, four hundred sixty-one billion, fifty-three million, three hundred thirty-eight thousand, three hundred twenty".