4871533363200 has 2736 divisors, whose sum is σ = 22717649310720. Its totient is φ = 1009023713280.

The previous prime is 4871533363159. The next prime is 4871533363217. The reversal of 4871533363200 is 23633351784.

4871533363200 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 5 + 3 + 3 + 3 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2736).

It is a super-2 number, since 2×4871533363200² (a number of 26 digits) contains 22 as substring.

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

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, 211805798389 + ... + 211805798411.

Almost surely, 2^{4871533363200} is an apocalyptic number.

4871533363200 is a gapful number since it is divisible by the number (40) 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 4871533363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11358824655360).

4871533363200 is an abundant number, since it is smaller than the sum of its proper divisors (17846115947520).

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

4871533363200 is an frugal number, since it uses more digits than its factorization.

4871533363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4871533363200 in words is "four trillion, eight hundred seventy-one billion, five hundred thirty-three million, three hundred sixty-three thousand, two hundred".