11615749120 has 176 divisors, whose sum is σ = 29789548848. Its totient is φ = 4330618880.

The previous prime is 11615749111. The next prime is 11615749129. The reversal of 11615749120 is 2194751611.

It is an interprime number because it is at equal distance from previous prime (11615749111) and next prime (11615749129).

It can be written as a sum of positive squares in 8 ways, for example, as 82944 + 11615666176 = 288^2 + 107776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11615749120.

It is not an unprimeable number, because it can be changed into a prime (11615749129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9834930 + ... + 9836110.

Almost surely, 2^11615749120 is an apocalyptic number.

11615749120 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 11615749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894774424).

11615749120 is an abundant number, since it is smaller than the sum of its proper divisors (18173799728).

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

11615749120 is a wasteful number, since it uses less digits than its factorization.

11615749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The spelling of 11615749120 in words is "eleven billion, six hundred fifteen million, seven hundred forty-nine thousand, one hundred twenty".