538735265405568 has 1280 divisors, whose sum is σ = 2022003769927680. Its totient is φ = 138316999680000.

The previous prime is 538735265405543. The next prime is 538735265405587. The reversal of 538735265405568 is 865504562537835.

538735265405568 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 3 + 5 + 2 + 6 + 54 + 0 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 538735265405496 and 538735265405505.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51846329653 + ... + 51846340043.

It is an arithmetic number, because the mean of its divisors is an integer number (1579690445256).

Almost surely, 2^{538735265405568} 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 538735265405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011001884963840).

538735265405568 is an abundant number, since it is smaller than the sum of its proper divisors (1483268504522112).

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

538735265405568 is a wasteful number, since it uses less digits than its factorization.

538735265405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179 (or 11158 counting only the distinct ones).

The product of its (nonzero) digits is 3628800000, while the sum is 72.

The spelling of 538735265405568 in words is "five hundred thirty-eight trillion, seven hundred thirty-five billion, two hundred sixty-five million, four hundred five thousand, five hundred sixty-eight".