5124578400 has 576 divisors, whose sum is σ = 19601870400. Its totient is φ = 1306368000.

The previous prime is 5124578387. The next prime is 5124578453. The reversal of 5124578400 is 48754215.

5124578400 is a `hidden beast` number, since 5 + 1 + 245 + 7 + 8 + 400 = 666.

It is a super-2 number, since 2×5124578400² = 52522607555493120000, 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, 50738350 + ... + 50738450.

It is an arithmetic number, because the mean of its divisors is an integer number (34031025).

Almost surely, 2^5124578400 is an apocalyptic number.

5124578400 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 5124578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9800935200).

5124578400 is an abundant number, since it is smaller than the sum of its proper divisors (14477292000).

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

5124578400 is a wasteful number, since it uses less digits than its factorization.

5124578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5124578400 is about 71586.1606736945. The cubic root of 5124578400 is about 1724.0613418742.

The spelling of 5124578400 in words is "five billion, one hundred twenty-four million, five hundred seventy-eight thousand, four hundred".