10055210544225 has 288 divisors, whose sum is σ = 22783456051200. Its totient is φ = 4117925952000.

The previous prime is 10055210544193. The next prime is 10055210544251. The reversal of 10055210544225 is 52244501255001.

10055210544225 is a `hidden beast` number, since 1 + 0 + 0 + 552 + 10 + 54 + 42 + 2 + 5 = 666.

It is not a de Polignac number, because 10055210544225 - 2⁵ = 10055210544193 is a prime.

It is a super-3 number, since 3×10055210544225³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10055210544225.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 327825640 + ... + 327856310.

It is an arithmetic number, because the mean of its divisors is an integer number (79109222400).

Almost surely, 2^{10055210544225} is an apocalyptic number.

10055210544225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10055210544225 is an abundant number, since it is smaller than the sum of its proper divisors (12728245506975).

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

10055210544225 is a wasteful number, since it uses less digits than its factorization.

10055210544225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30981 (or 30973 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 10055210544225 its reverse (52244501255001), we get a palindrome (62299711799226).

The spelling of 10055210544225 in words is "ten trillion, fifty-five billion, two hundred ten million, five hundred forty-four thousand, two hundred twenty-five".