11151555240 has 192 divisors, whose sum is σ = 40965307200. Its totient is φ = 2414748672.

The previous prime is 11151555227. The next prime is 11151555269. The reversal of 11151555240 is 4255515111.

11151555240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 11151555198 and 11151555207.

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 47 ways as a sum of consecutive naturals, for example, 61812 + ... + 161628.

It is an arithmetic number, because the mean of its divisors is an integer number (213360975).

Almost surely, 2^11151555240 is an apocalyptic number.

11151555240 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 11151555240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482653600).

11151555240 is an abundant number, since it is smaller than the sum of its proper divisors (29813751960).

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

11151555240 is a wasteful number, since it uses less digits than its factorization.

11151555240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99864 (or 99853 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 30.

The spelling of 11151555240 in words is "eleven billion, one hundred fifty-one million, five hundred fifty-five thousand, two hundred forty".