538782249672000 has 2688 divisors, whose sum is σ = 2071826486166528. Its totient is φ = 138540699648000.

The previous prime is 538782249671999. The next prime is 538782249672011. The reversal of 538782249672000 is 276942287835.

538782249672000 is a `hidden beast` number, since 5 + 3 + 8 + 78 + 2 + 2 + 496 + 72 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×538782249672000³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2976697511910 + ... + 2976697512090.

It is an arithmetic number, because the mean of its divisors is an integer number (770768782056).

Almost surely, 2^{538782249672000} is an apocalyptic number.

538782249672000 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 538782249672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035913243083264).

538782249672000 is an abundant number, since it is smaller than the sum of its proper divisors (1533044236494528).

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

538782249672000 is a wasteful number, since it uses less digits than its factorization.

538782249672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 538782249672000 in words is "five hundred thirty-eight trillion, seven hundred eighty-two billion, two hundred forty-nine million, six hundred seventy-two thousand".