11126621160 has 256 divisors, whose sum is σ = 39180960000. Its totient is φ = 2800852992.

The previous prime is 11126621147. The next prime is 11126621171. The reversal of 11126621160 is 6112662111.

11126621160 is a `hidden beast` number, since 1 + 1 + 1 + 26 + 621 + 16 + 0 = 666.

11126621160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 63 ways as a sum of consecutive naturals, for example, 6914436 + ... + 6916044.

It is an arithmetic number, because the mean of its divisors is an integer number (153050625).

Almost surely, 2^11126621160 is an apocalyptic number.

11126621160 is a gapful number since it is divisible by the number (10) 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 11126621160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19590480000).

11126621160 is an abundant number, since it is smaller than the sum of its proper divisors (28054338840).

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

11126621160 is a wasteful number, since it uses less digits than its factorization.

11126621160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11126621160 in words is "eleven billion, one hundred twenty-six million, six hundred twenty-one thousand, one hundred sixty".