5312197555200 has 528 divisors, whose sum is σ = 19534379511360. Its totient is φ = 1414661898240.

The previous prime is 5312197555169. The next prime is 5312197555207. The reversal of 5312197555200 is 25557912135.

5312197555200 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 1 + 97 + 5 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312197555207) 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, 550881579 + ... + 550891221.

Almost surely, 2^{5312197555200} is an apocalyptic number.

5312197555200 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 5312197555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767189755680).

5312197555200 is an abundant number, since it is smaller than the sum of its proper divisors (14222181956160).

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

5312197555200 is a wasteful number, since it uses less digits than its factorization.

5312197555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10479 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 5312197555200 in words is "five trillion, three hundred twelve billion, one hundred ninety-seven million, five hundred fifty-five thousand, two hundred".