5052742200 has 768 divisors, whose sum is σ = 20695104000. Its totient is φ = 1129075200.

The previous prime is 5052742199. The next prime is 5052742217. The reversal of 5052742200 is 22472505.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136560582 + ... + 136560618.

It is an arithmetic number, because the mean of its divisors is an integer number (26946750).

Almost surely, 2^5052742200 is an apocalyptic number.

5052742200 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 5052742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347552000).

5052742200 is an abundant number, since it is smaller than the sum of its proper divisors (15642361800).

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

5052742200 is a wasteful number, since it uses less digits than its factorization.

5052742200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5052742200 is about 71082.6434511267. The cubic root of 5052742200 is about 1715.9674550041.

The spelling of 5052742200 in words is "five billion, fifty-two million, seven hundred forty-two thousand, two hundred".