11151215440 has 40 divisors (see below), whose sum is σ = 25956988200. Its totient is φ = 4455254016.

The previous prime is 11151215431. The next prime is 11151215443. The reversal of 11151215440 is 4451215111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3032484624 + 8118730816 = 55068^2 + 90104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11151215443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12765 + ... + 149884.

It is an arithmetic number, because the mean of its divisors is an integer number (648924705).

Almost surely, 2^11151215440 is an apocalyptic number.

11151215440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11151215440 is an abundant number, since it is smaller than the sum of its proper divisors (14805772760).

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

11151215440 is a wasteful number, since it uses less digits than its factorization.

11151215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163519 (or 163513 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The spelling of 11151215440 in words is "eleven billion, one hundred fifty-one million, two hundred fifteen thousand, four hundred forty".