11557000000 has 392 divisors, whose sum is σ = 35559544832. Its totient is φ = 3628800000.

The previous prime is 11556999967. The next prime is 11557000019. The reversal of 11557000000 is 75511.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 11557000000 = 240³ + 2260³ = 550³ + 2250³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 90999937 + ... + 91000063.

Almost surely, 2^11557000000 is an apocalyptic number.

11557000000 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 11557000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17779772416).

11557000000 is an abundant number, since it is smaller than the sum of its proper divisors (24002544832).

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

11557000000 is an frugal number, since it uses more digits than its factorization.

11557000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 19.

Adding to 11557000000 its reverse (75511), we get a palindrome (11557075511).

The spelling of 11557000000 in words is "eleven billion, five hundred fifty-seven million", and thus it is an aban number.