5040851200 has 432 divisors, whose sum is σ = 15931230336. Its totient is φ = 1533542400.

The previous prime is 5040851161. The next prime is 5040851243. The reversal of 5040851200 is 21580405.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26118304 + ... + 26118496.

It is an arithmetic number, because the mean of its divisors is an integer number (36877848).

Almost surely, 2^5040851200 is an apocalyptic number.

5040851200 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 5040851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965615168).

5040851200 is an abundant number, since it is smaller than the sum of its proper divisors (10890379136).

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

5040851200 is a wasteful number, since it uses less digits than its factorization.

5040851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 5040851200 is about 70998.9521049431. The cubic root of 5040851200 is about 1714.6202923679.

The spelling of 5040851200 in words is "five billion, forty million, eight hundred fifty-one thousand, two hundred".