5142640376160 has 288 divisors, whose sum is σ = 20799124399872. Its totient is φ = 1175460595200.

The previous prime is 5142640376149. The next prime is 5142640376171. The reversal of 5142640376160 is 616730462415.

5142640376160 is a `hidden beast` number, since 5 + 1 + 4 + 26 + 4 + 0 + 3 + 7 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5142640376149) and next prime (5142640376171).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5142640376160³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9175666 + ... + 9719985.

It is an arithmetic number, because the mean of its divisors is an integer number (72219181944).

Almost surely, 2^{5142640376160} is an apocalyptic number.

It is an amenable number.

5142640376160 is an abundant number, since it is smaller than the sum of its proper divisors (15656484023712).

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

5142640376160 is a wasteful number, since it uses less digits than its factorization.

5142640376160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18895688 (or 18895668 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5142640376160 in words is "five trillion, one hundred forty-two billion, six hundred forty million, three hundred seventy-six thousand, one hundred sixty".