5312487445200 has 720 divisors, whose sum is σ = 19990744510464. Its totient is φ = 1298716876800.

The previous prime is 5312487445183. The next prime is 5312487445229. The reversal of 5312487445200 is 25447842135.

5312487445200 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 4 + 87 + 44 + 520 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5574487924 + ... + 5574488876.

Almost surely, 2^{5312487445200} is an apocalyptic number.

5312487445200 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 5312487445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995372255232).

5312487445200 is an abundant number, since it is smaller than the sum of its proper divisors (14678257065264).

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

5312487445200 is a wasteful number, since it uses less digits than its factorization.

5312487445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 5312487445200 in words is "five trillion, three hundred twelve billion, four hundred eighty-seven million, four hundred forty-five thousand, two hundred".