5312024524800 has 1728 divisors, whose sum is σ = 22828748866560. Its totient is φ = 1155005153280.

The previous prime is 5312024524787. The next prime is 5312024524801. The reversal of 5312024524800 is 84254202135.

5312024524800 is a `hidden beast` number, since 5 + 3 + 120 + 2 + 4 + 52 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312024524801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5609317927 + ... + 5609318873.

It is an arithmetic number, because the mean of its divisors is an integer number (13211081520).

Almost surely, 2^{5312024524800} is an apocalyptic number.

5312024524800 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 5312024524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414374433280).

5312024524800 is an abundant number, since it is smaller than the sum of its proper divisors (17516724341760).

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

5312024524800 is a wasteful number, since it uses less digits than its factorization.

5312024524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 5312024524800 its reverse (84254202135), we get a palindrome (5396278726935).

The spelling of 5312024524800 in words is "five trillion, three hundred twelve billion, twenty-four million, five hundred twenty-four thousand, eight hundred".