538594028835408 has 5760 divisors, whose sum is σ = 2245619791134720. Its totient is φ = 123194996305920.

The previous prime is 538594028835407. The next prime is 538594028835509. The reversal of 538594028835408 is 804538820495835.

538594028835408 is a `hidden beast` number, since 5 + 3 + 8 + 59 + 4 + 0 + 28 + 8 + 3 + 540 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538594028835407) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3304257845535 + ... + 3304257845697.

It is an arithmetic number, because the mean of its divisors is an integer number (389864547072).

Almost surely, 2^{538594028835408} 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 538594028835408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122809895567360).

538594028835408 is an abundant number, since it is smaller than the sum of its proper divisors (1707025762299312).

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

538594028835408 is a wasteful number, since it uses less digits than its factorization.

538594028835408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1327104000, while the sum is 72.

The spelling of 538594028835408 in words is "five hundred thirty-eight trillion, five hundred ninety-four billion, twenty-eight million, eight hundred thirty-five thousand, four hundred eight".