5127040800 has 720 divisors, whose sum is σ = 21778606080. Its totient is φ = 1149603840.

The previous prime is 5127040777. The next prime is 5127040813. The reversal of 5127040800 is 80407215.

5127040800 is a `hidden beast` number, since 512 + 70 + 4 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40370337 + ... + 40370463.

It is an arithmetic number, because the mean of its divisors is an integer number (30248064).

Almost surely, 2^5127040800 is an apocalyptic number.

5127040800 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 5127040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

5127040800 is an abundant number, since it is smaller than the sum of its proper divisors (16651565280).

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

5127040800 is a wasteful number, since it uses less digits than its factorization.

5127040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5127040800 is about 71603.3574631805. The cubic root of 5127040800 is about 1724.3374393094.

The spelling of 5127040800 in words is "five billion, one hundred twenty-seven million, forty thousand, eight hundred".