5126284800 has 960 divisors, whose sum is σ = 23300175360. Its totient is φ = 1074954240.

The previous prime is 5126284753. The next prime is 5126284811. The reversal of 5126284800 is 84826215.

5126284800 is a `hidden beast` number, since 512 + 62 + 8 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5126284800² = 52557591701422080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31449519 + ... + 31449681.

It is an arithmetic number, because the mean of its divisors is an integer number (24271016).

Almost surely, 2^5126284800 is an apocalyptic number.

5126284800 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 5126284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650087680).

5126284800 is an abundant number, since it is smaller than the sum of its proper divisors (18173890560).

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

5126284800 is a wasteful number, since it uses less digits than its factorization.

5126284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5126284800 is about 71598.0781864988. The cubic root of 5126284800 is about 1724.2526819588.

The spelling of 5126284800 in words is "five billion, one hundred twenty-six million, two hundred eighty-four thousand, eight hundred".