5142638592 has 624 divisors, whose sum is σ = 19347797280. Its totient is φ = 1337720832.

The previous prime is 5142638587. The next prime is 5142638593. The reversal of 5142638592 is 2958362415.

5142638592 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 638 + 5 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142638593) 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, 70447068 + ... + 70447140.

Almost surely, 2^5142638592 is an apocalyptic number.

5142638592 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142638592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9673898640).

5142638592 is an abundant number, since it is smaller than the sum of its proper divisors (14205158688).

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

5142638592 is a wasteful number, since it uses less digits than its factorization.

5142638592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 5142638592 is about 71712.1927708252. The cubic root of 5142638592 is about 1726.0842967422.

The spelling of 5142638592 in words is "five billion, one hundred forty-two million, six hundred thirty-eight thousand, five hundred ninety-two".