5312419200 has 576 divisors, whose sum is σ = 21235359600. Its totient is φ = 1253376000.

The previous prime is 5312419193. The next prime is 5312419207. The reversal of 5312419200 is 29142135.

5312419200 is a `hidden beast` number, since 531 + 2 + 41 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5312419193) and next prime (5312419207).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312419207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12988596 + ... + 12989004.

Almost surely, 2^5312419200 is an apocalyptic number.

5312419200 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 5312419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617679800).

5312419200 is an abundant number, since it is smaller than the sum of its proper divisors (15922940400).

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

5312419200 is a wasteful number, since it uses less digits than its factorization.

5312419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5312419200 is about 72886.3444000315. The cubic root of 5312419200 is about 1744.8741654676.

The spelling of 5312419200 in words is "five billion, three hundred twelve million, four hundred nineteen thousand, two hundred".