5351895244800 has 2520 divisors, whose sum is σ = 22671596987424. Its totient is φ = 1244929720320.

The previous prime is 5351895244747. The next prime is 5351895244837. The reversal of 5351895244800 is 84425981535.

5351895244800 is a `hidden beast` number, since 5 + 3 + 51 + 8 + 95 + 24 + 480 + 0 = 666.

It is a super-2 number, since 2×5351895244800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 64480665559 + ... + 64480665641.

Almost surely, 2^{5351895244800} is an apocalyptic number.

5351895244800 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 5351895244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335798493712).

5351895244800 is an abundant number, since it is smaller than the sum of its proper divisors (17319701742624).

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

5351895244800 is a wasteful number, since it uses less digits than its factorization.

5351895244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5351895244800 in words is "five trillion, three hundred fifty-one billion, eight hundred ninety-five million, two hundred forty-four thousand, eight hundred".