11151661040 has 120 divisors (see below), whose sum is σ = 28462575600. Its totient is φ = 4060772352.

The previous prime is 11151661033. The next prime is 11151661049. The reversal of 11151661040 is 4016615111.

11151661040 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 (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11151661049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 981311 + ... + 992609.

It is an arithmetic number, because the mean of its divisors is an integer number (237188130).

Almost surely, 2^11151661040 is an apocalyptic number.

11151661040 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 11151661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231287800).

11151661040 is an abundant number, since it is smaller than the sum of its proper divisors (17310914560).

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

11151661040 is a wasteful number, since it uses less digits than its factorization.

11151661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11411 (or 11392 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The spelling of 11151661040 in words is "eleven billion, one hundred fifty-one million, six hundred sixty-one thousand, forty".