11657948480 has 28 divisors (see below), whose sum is σ = 27760490580. Its totient is φ = 4663179264.

The previous prime is 11657948461. The next prime is 11657948501. The reversal of 11657948480 is 8484975611.

11657948480 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 2 ways, for example, as 2309379136 + 9348569344 = 48056^2 + 96688^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 18215225 + ... + 18215864.

Almost surely, 2^11657948480 is an apocalyptic number.

11657948480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11657948480 is an abundant number, since it is smaller than the sum of its proper divisors (16102542100).

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

11657948480 is an equidigital number, since it uses as much as digits as its factorization.

11657948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36431106 (or 36431096 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 11657948480 in words is "eleven billion, six hundred fifty-seven million, nine hundred forty-eight thousand, four hundred eighty".