11685953160 has 384 divisors, whose sum is σ = 47287929600. Its totient is φ = 2554675200.

The previous prime is 11685953143. The next prime is 11685953197. The reversal of 11685953160 is 6135958611.

11685953160 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 59 + 531 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1212360 + ... + 1221960.

It is an arithmetic number, because the mean of its divisors is an integer number (123145650).

Almost surely, 2^11685953160 is an apocalyptic number.

11685953160 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 11685953160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23643964800).

11685953160 is an abundant number, since it is smaller than the sum of its proper divisors (35601976440).

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

11685953160 is a wasteful number, since it uses less digits than its factorization.

11685953160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9658 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 11685953160 in words is "eleven billion, six hundred eighty-five million, nine hundred fifty-three thousand, one hundred sixty".