5310273945600 has 1944 divisors, whose sum is σ = 22392223602840. Its totient is φ = 1238347284480.

The previous prime is 5310273945563. The next prime is 5310273945601. The reversal of 5310273945600 is 65493720135.

5310273945600 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 2 + 7 + 39 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-3 number, since 3×5310273945600³ (a number of 39 digits) contains 333 as substring.

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 (5310273945601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 279488102391 + ... + 279488102409.

Almost surely, 2^{5310273945600} is an apocalyptic number.

5310273945600 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 5310273945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196111801420).

5310273945600 is an abundant number, since it is smaller than the sum of its proper divisors (17081949657240).

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

5310273945600 is an frugal number, since it uses more digits than its factorization.

5310273945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 5310273945600 in words is "five trillion, three hundred ten billion, two hundred seventy-three million, nine hundred forty-five thousand, six hundred".