5053824000 has 528 divisors, whose sum is σ = 18830369376. Its totient is φ = 1302528000.

The previous prime is 5053823993. The next prime is 5053824001. The reversal of 5053824000 is 4283505.

It is a super-2 number, since 2×5053824000² = 51082274045952000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5053824001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47231947 + ... + 47232053.

Almost surely, 2^5053824000 is an apocalyptic number.

5053824000 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 5053824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415184688).

5053824000 is an abundant number, since it is smaller than the sum of its proper divisors (13776545376).

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

5053824000 is a wasteful number, since it uses less digits than its factorization.

5053824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5053824000 is about 71090.2524963866. The cubic root of 5053824000 is about 1716.0899100363.

The spelling of 5053824000 in words is "five billion, fifty-three million, eight hundred twenty-four thousand".