11760053760 has 960 divisors, whose sum is σ = 51476705280. Its totient is φ = 2415329280.

The previous prime is 11760053759. The next prime is 11760053761. The reversal of 11760053760 is 6735006711.

11760053760 is a `hidden beast` number, since 1 + 1 + 7 + 60 + 0 + 537 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11760053759) and next prime (11760053761).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11760053761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148861401 + ... + 148861479.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 2^11760053760 is an apocalyptic number.

11760053760 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 11760053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).

11760053760 is an abundant number, since it is smaller than the sum of its proper divisors (39716651520).

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

11760053760 is a wasteful number, since it uses less digits than its factorization.

11760053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 11760053760 in words is "eleven billion, seven hundred sixty million, fifty-three thousand, seven hundred sixty".