541088801568 has 384 divisors, whose sum is σ = 1863596851200. Its totient is φ = 149507472384.

The previous prime is 541088801551. The next prime is 541088801569. The reversal of 541088801568 is 865108880145.

541088801568 is a `hidden beast` number, since 5 + 410 + 88 + 80 + 15 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (541088801569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37363353 + ... + 37377831.

It is an arithmetic number, because the mean of its divisors is an integer number (4853116800).

Almost surely, 2^541088801568 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 541088801568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931798425600).

541088801568 is an abundant number, since it is smaller than the sum of its proper divisors (1322508049632).

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

541088801568 is a wasteful number, since it uses less digits than its factorization.

541088801568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14709 (or 14695 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 541088801568 in words is "five hundred forty-one billion, eighty-eight million, eight hundred one thousand, five hundred sixty-eight".