4952805212160 has 720 divisors, whose sum is σ = 19125217182456. Its totient is φ = 1218982182912.

The previous prime is 4952805212141. The next prime is 4952805212189. The reversal of 4952805212160 is 612125082594.

4952805212160 is a `hidden beast` number, since 4 + 9 + 528 + 0 + 52 + 12 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4214250602496 + 738554609664 = 2052864^2 + 859392^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4952805212160² (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 39 ways as a sum of consecutive naturals, for example, 690090492 + ... + 690097668.

Almost surely, 2^{4952805212160} is an apocalyptic number.

4952805212160 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 4952805212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9562608591228).

4952805212160 is an abundant number, since it is smaller than the sum of its proper divisors (14172411970296).

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

4952805212160 is an frugal number, since it uses more digits than its factorization.

4952805212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 4952805212160 in words is "four trillion, nine hundred fifty-two billion, eight hundred five million, two hundred twelve thousand, one hundred sixty".