5142764594592 has 144 divisors (see below), whose sum is σ = 15429534120000. Its totient is φ = 1620330780672.

The previous prime is 5142764594587. The next prime is 5142764594707. The reversal of 5142764594592 is 2954954672415.

It is a happy number.

5142764594592 is a `hidden beast` number, since 5 + 14 + 27 + 6 + 4 + 5 + 9 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1331784 + ... + 3472632.

It is an arithmetic number, because the mean of its divisors is an integer number (107149542500).

Almost surely, 2^{5142764594592} 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 5142764594592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714767060000).

5142764594592 is an abundant number, since it is smaller than the sum of its proper divisors (10286769525408).

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

5142764594592 is a wasteful number, since it uses less digits than its factorization.

5142764594592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141323 (or 2141312 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 5142764594592 in words is "five trillion, one hundred forty-two billion, seven hundred sixty-four million, five hundred ninety-four thousand, five hundred ninety-two".