5123510431200 has 1440 divisors, whose sum is σ = 21756827473920. Its totient is φ = 1149155942400.

The previous prime is 5123510431187. The next prime is 5123510431201. The reversal of 5123510431200 is 21340153215.

5123510431200 is a `hidden beast` number, since 5 + 1 + 23 + 5 + 1 + 0 + 431 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5123510431201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11887494985 + ... + 11887495415.

It is an arithmetic number, because the mean of its divisors is an integer number (15108907968).

Almost surely, 2^{5123510431200} is an apocalyptic number.

5123510431200 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 5123510431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878413736960).

5123510431200 is an abundant number, since it is smaller than the sum of its proper divisors (16633317042720).

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

5123510431200 is a wasteful number, since it uses less digits than its factorization.

5123510431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 5123510431200 its reverse (21340153215), we get a palindrome (5144850584415).

The spelling of 5123510431200 in words is "five trillion, one hundred twenty-three billion, five hundred ten million, four hundred thirty-one thousand, two hundred".