538400554721568 has 1152 divisors, whose sum is σ = 2024952312176640. Its totient is φ = 135203489280000.

The previous prime is 538400554721551. The next prime is 538400554721597. The reversal of 538400554721568 is 865127455004835.

538400554721568 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 0 + 0 + 5 + 5 + 47 + 21 + 568 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 78702021828 + ... + 78702028668.

It is an arithmetic number, because the mean of its divisors is an integer number (1757771104320).

Almost surely, 2^{538400554721568} 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 538400554721568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012476156088320).

538400554721568 is an abundant number, since it is smaller than the sum of its proper divisors (1486551757455072).

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

538400554721568 is a wasteful number, since it uses less digits than its factorization.

538400554721568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8171 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 63.

The spelling of 538400554721568 in words is "five hundred thirty-eight trillion, four hundred billion, five hundred fifty-four million, seven hundred twenty-one thousand, five hundred sixty-eight".