11270125800 has 72 divisors (see below), whose sum is σ = 37848845190. Its totient is φ = 3005366400.

The previous prime is 11270125793. The next prime is 11270125813. The reversal of 11270125800 is 852107211.

11270125800 is a `hidden beast` number, since 1 + 1 + 2 + 70 + 12 + 580 + 0 = 666.

11270125800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9203332356 + 2066793444 = 95934^2 + 45462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-5 number, since 5×11270125800⁵ (a number of 51 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3128791 + ... + 3132390.

Almost surely, 2^11270125800 is an apocalyptic number.

11270125800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11270125800 is an abundant number, since it is smaller than the sum of its proper divisors (26578719390).

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

11270125800 is a wasteful number, since it uses less digits than its factorization.

11270125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261203 (or 6261191 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 11270125800 in words is "eleven billion, two hundred seventy million, one hundred twenty-five thousand, eight hundred".