5134924800 has 1056 divisors, whose sum is σ = 21930739200. Its totient is φ = 1167851520.

The previous prime is 5134924789. The next prime is 5134924801. The reversal of 5134924800 is 84294315.

5134924800 is a `hidden beast` number, since 513 + 49 + 24 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134924801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223257589 + ... + 223257611.

Almost surely, 2^5134924800 is an apocalyptic number.

5134924800 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 5134924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965369600).

5134924800 is an abundant number, since it is smaller than the sum of its proper divisors (16795814400).

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

5134924800 is a wasteful number, since it uses less digits than its factorization.

5134924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5134924800 is about 71658.3895995438. The cubic root of 5134924800 is about 1725.2208412910.

The spelling of 5134924800 in words is "five billion, one hundred thirty-four million, nine hundred twenty-four thousand, eight hundred".