11264005125 has 128 divisors (see below), whose sum is σ = 22037184000. Its totient is φ = 5661446400.

The previous prime is 11264005121. The next prime is 11264005133. The reversal of 11264005125 is 52150046211.

11264005125 is a `hidden beast` number, since 1 + 1 + 2 + 640 + 0 + 5 + 12 + 5 = 666.

It is not a de Polignac number, because 11264005125 - 2² = 11264005121 is a prime.

It is a super-2 number, since 2×11264005125² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264005121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17249299 + ... + 17249951.

It is an arithmetic number, because the mean of its divisors is an integer number (172165500).

Almost surely, 2^11264005125 is an apocalyptic number.

11264005125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11264005125 is a deficient number, since it is larger than the sum of its proper divisors (10773178875).

11264005125 is a wasteful number, since it uses less digits than its factorization.

11264005125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11264005125 in words is "eleven billion, two hundred sixty-four million, five thousand, one hundred twenty-five".