5142460157568 has 384 divisors, whose sum is σ = 15456156206400. Its totient is φ = 1639921489920.

The previous prime is 5142460157537. The next prime is 5142460157591. The reversal of 5142460157568 is 8657510642415.

5142460157568 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 4 + 6 + 0 + 1 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24371848983 + ... + 24371849193.

Almost surely, 2^{5142460157568} 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 5142460157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728078103200).

5142460157568 is an abundant number, since it is smaller than the sum of its proper divisors (10313696048832).

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

5142460157568 is an frugal number, since it uses more digits than its factorization.

5142460157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 5142460157568 in words is "five trillion, one hundred forty-two billion, four hundred sixty million, one hundred fifty-seven thousand, five hundred sixty-eight".