5142048000 has 288 divisors, whose sum is σ = 17677820160. Its totient is φ = 1323212800.

The previous prime is 5142047951. The next prime is 5142048001. The reversal of 5142048000 is 8402415.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142048001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2783077 + ... + 2784923.

It is an arithmetic number, because the mean of its divisors is an integer number (61381320).

Almost surely, 2^5142048000 is an apocalyptic number.

5142048000 is a gapful number since it is divisible by the number (50) 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 5142048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838910080).

5142048000 is an abundant number, since it is smaller than the sum of its proper divisors (12535772160).

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

5142048000 is a wasteful number, since it uses less digits than its factorization.

5142048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5142048000 is about 71708.0748591119. The cubic root of 5142048000 is about 1726.0182184321.

The spelling of 5142048000 in words is "five billion, one hundred forty-two million, forty-eight thousand".