5567142904128 has 336 divisors, whose sum is σ = 17565347095296. Its totient is φ = 1675085598720.

The previous prime is 5567142904079. The next prime is 5567142904129. The reversal of 5567142904128 is 8214092417655.

5567142904128 is a `hidden beast` number, since 5 + 567 + 14 + 2 + 9 + 0 + 41 + 28 = 666.

It is a super-2 number, since 2×5567142904128² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5567142904129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454343250 + ... + 454355502.

It is an arithmetic number, because the mean of its divisors is an integer number (52277818736).

Almost surely, 2^{5567142904128} 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 5567142904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782673547648).

5567142904128 is an abundant number, since it is smaller than the sum of its proper divisors (11998204191168).

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

5567142904128 is a wasteful number, since it uses less digits than its factorization.

5567142904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13622 (or 13609 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5567142904128 in words is "five trillion, five hundred sixty-seven billion, one hundred forty-two million, nine hundred four thousand, one hundred twenty-eight".