5142528000 has 600 divisors, whose sum is σ = 19792316544. Its totient is φ = 1327104000.

The previous prime is 5142527981. The next prime is 5142528007. The reversal of 5142528000 is 8252415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5142528007) 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, 165887985 + ... + 165888015.

Almost surely, 2^5142528000 is an apocalyptic number.

5142528000 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 5142528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896158272).

5142528000 is an abundant number, since it is smaller than the sum of its proper divisors (14649788544).

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

5142528000 is an frugal number, since it uses more digits than its factorization.

5142528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5142528000 is about 71711.4216844151. The cubic root of 5142528000 is about 1726.0719235555.

The spelling of 5142528000 in words is "five billion, one hundred forty-two million, five hundred twenty-eight thousand".