11200117625 has 64 divisors (see below), whose sum is σ = 15122764800. Its totient is φ = 8254828800.

The previous prime is 11200117619. The next prime is 11200117673. The reversal of 11200117625 is 52671100211.

It is not a de Polignac number, because 11200117625 - 2¹⁶ = 11200052089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11200117594 and 11200117603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30026939 + ... + 30027311.

It is an arithmetic number, because the mean of its divisors is an integer number (236293200).

Almost surely, 2^11200117625 is an apocalyptic number.

It is an amenable number.

11200117625 is a deficient number, since it is larger than the sum of its proper divisors (3922647175).

11200117625 is a wasteful number, since it uses less digits than its factorization.

11200117625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 11200117625 its reverse (52671100211), we get a palindrome (63871217836).

The spelling of 11200117625 in words is "eleven billion, two hundred million, one hundred seventeen thousand, six hundred twenty-five".