11585152070316 has 192 divisors, whose sum is σ = 35168761474560. Its totient is φ = 3258880542720.

The previous prime is 11585152070291. The next prime is 11585152070341. The reversal of 11585152070316 is 61307025158511.

11585152070316 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 51 + 520 + 70 + 3 + 1 + 6 = 666.

11585152070316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11585152070291) and next prime (11585152070341).

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, 2454706 + ... + 5403321.

It is an arithmetic number, because the mean of its divisors is an integer number (183170632680).

Almost surely, 2^{11585152070316} is an apocalyptic number.

It is an amenable number.

11585152070316 is an abundant number, since it is smaller than the sum of its proper divisors (23583609404244).

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

11585152070316 is a wasteful number, since it uses less digits than its factorization.

11585152070316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858141 (or 7858133 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 11585152070316 in words is "eleven trillion, five hundred eighty-five billion, one hundred fifty-two million, seventy thousand, three hundred sixteen".