11805753960 has 576 divisors, whose sum is σ = 51802208640. Its totient is φ = 2251929600.

The previous prime is 11805753959. The next prime is 11805754001. The reversal of 11805753960 is 6935750811.

It is a happy number.

11805753960 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 57 + 539 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65225070 + ... + 65225250.

It is an arithmetic number, because the mean of its divisors is an integer number (89934390).

Almost surely, 2^11805753960 is an apocalyptic number.

11805753960 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 11805753960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25901104320).

11805753960 is an abundant number, since it is smaller than the sum of its proper divisors (39996454680).

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

11805753960 is a wasteful number, since it uses less digits than its factorization.

11805753960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11805753960 in words is "eleven billion, eight hundred five million, seven hundred fifty-three thousand, nine hundred sixty".