5012560800 has 288 divisors, whose sum is σ = 19524375360. Its totient is φ = 1233792000.

The previous prime is 5012560799. The next prime is 5012560801. The reversal of 5012560800 is 80652105.

5012560800 is a `hidden beast` number, since 50 + 1 + 2 + 5 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5012560799) and next prime (5012560801).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5012560801) 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, 271875 + ... + 289725.

It is an arithmetic number, because the mean of its divisors is an integer number (67792970).

Almost surely, 2^5012560800 is an apocalyptic number.

5012560800 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 5012560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762187680).

5012560800 is an abundant number, since it is smaller than the sum of its proper divisors (14511814560).

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

5012560800 is a wasteful number, since it uses less digits than its factorization.

5012560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17893 (or 17874 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5012560800 is about 70799.4406757568. The cubic root of 5012560800 is about 1711.4066603422.

The spelling of 5012560800 in words is "five billion, twelve million, five hundred sixty thousand, eight hundred".