11557435120 has 160 divisors (see below), whose sum is σ = 33565280256. Its totient is φ = 3595468800.

The previous prime is 11557435081. The next prime is 11557435133. The reversal of 11557435120 is 2153475511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3947097 + ... + 3950023.

Almost surely, 2^11557435120 is an apocalyptic number.

11557435120 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 11557435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16782640128).

11557435120 is an abundant number, since it is smaller than the sum of its proper divisors (22007845136).

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

11557435120 is a wasteful number, since it uses less digits than its factorization.

11557435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 11557435120 in words is "eleven billion, five hundred fifty-seven million, four hundred thirty-five thousand, one hundred twenty".