5310725587200 has 1296 divisors, whose sum is σ = 21168067240320. Its totient is φ = 1259421696000.

The previous prime is 5310725587199. The next prime is 5310725587213. The reversal of 5310725587200 is 27855270135.

5310725587200 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 72 + 558 + 7 + 20 + 0 = 666.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 12097324581 + ... + 12097325019.

Almost surely, 2^{5310725587200} is an apocalyptic number.

5310725587200 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 5310725587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584033620160).

5310725587200 is an abundant number, since it is smaller than the sum of its proper divisors (15857341653120).

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

5310725587200 is a wasteful number, since it uses less digits than its factorization.

5310725587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

It can be divided in two parts, 53107255 and 87200, that added together give a triangular number (53194455 = T₁₀₃₁₄).

The spelling of 5310725587200 in words is "five trillion, three hundred ten billion, seven hundred twenty-five million, five hundred eighty-seven thousand, two hundred".