11557785120 has 384 divisors, whose sum is σ = 44068147200. Its totient is φ = 2487324672.

The previous prime is 11557785097. The next prime is 11557785133. The reversal of 11557785120 is 2158775511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12576021 + ... + 12576939.

It is an arithmetic number, because the mean of its divisors is an integer number (114760800).

Almost surely, 2^11557785120 is an apocalyptic number.

11557785120 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 11557785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22034073600).

11557785120 is an abundant number, since it is smaller than the sum of its proper divisors (32510362080).

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

11557785120 is a wasteful number, since it uses less digits than its factorization.

11557785120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 42.

The spelling of 11557785120 in words is "eleven billion, five hundred fifty-seven million, seven hundred eighty-five thousand, one hundred twenty".