538707025407600 has 1440 divisors, whose sum is σ = 2247882240614400. Its totient is φ = 116862804172800.

The previous prime is 538707025407583. The next prime is 538707025407611. The reversal of 538707025407600 is 6704520707835.

It is a happy number.

538707025407600 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 0 + 7 + 0 + 25 + 4 + 0 + 7 + 600 = 666.

It is a super-2 number, since 2×538707025407600² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95532365581 + ... + 95532371219.

It is an arithmetic number, because the mean of its divisors is an integer number (1561029333760).

Almost surely, 2^{538707025407600} is an apocalyptic number.

538707025407600 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 538707025407600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123941120307200).

538707025407600 is an abundant number, since it is smaller than the sum of its proper divisors (1709175215206800).

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

538707025407600 is a wasteful number, since it uses less digits than its factorization.

538707025407600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 538707025407600 in words is "five hundred thirty-eight trillion, seven hundred seven billion, twenty-five million, four hundred seven thousand, six hundred".