11657513540 has 24 divisors (see below), whose sum is σ = 24482821272. Its totient is φ = 4662616320.

The previous prime is 11657513537. The next prime is 11657513557. The reversal of 11657513540 is 4531575611.

It is a happy number.

11657513540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8478358084 + 3179155456 = 92078^2 + 56384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11657513494 and 11657513503.

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 7 ways as a sum of consecutive naturals, for example, 414320 + ... + 441560.

It is an arithmetic number, because the mean of its divisors is an integer number (1020117553).

Almost surely, 2^11657513540 is an apocalyptic number.

11657513540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11657513540 is an abundant number, since it is smaller than the sum of its proper divisors (12825307732).

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

11657513540 is a wasteful number, since it uses less digits than its factorization.

11657513540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48647 (or 48645 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 11657513540 in words is "eleven billion, six hundred fifty-seven million, five hundred thirteen thousand, five hundred forty".