5142605760 has 280 divisors, whose sum is σ = 18403519200. Its totient is φ = 1363101696.

The previous prime is 5142605737. The next prime is 5142605761. The reversal of 5142605760 is 675062415.

It is a happy number.

5142605760 is a `hidden beast` number, since 5 + 1 + 42 + 605 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142605761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5157582 + ... + 5158578.

Almost surely, 2^5142605760 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 5142605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201759600).

5142605760 is an abundant number, since it is smaller than the sum of its proper divisors (13260913440).

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

5142605760 is a wasteful number, since it uses less digits than its factorization.

5142605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5142605760 is about 71711.9638554126. The cubic root of 5142605760 is about 1726.0806234709.

The spelling of 5142605760 in words is "five billion, one hundred forty-two million, six hundred five thousand, seven hundred sixty".