11627141760 has 640 divisors, whose sum is σ = 45533093760. Its totient is φ = 2821754880.

The previous prime is 11627141683. The next prime is 11627141761. The reversal of 11627141760 is 6714172611.

11627141760 is a `hidden beast` number, since 1 + 1 + 627 + 14 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (11627141761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163762525 + ... + 163762595.

It is an arithmetic number, because the mean of its divisors is an integer number (71145459).

Almost surely, 2^11627141760 is an apocalyptic number.

11627141760 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 11627141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766546880).

11627141760 is an abundant number, since it is smaller than the sum of its proper divisors (33905952000).

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

11627141760 is an frugal number, since it uses more digits than its factorization.

11627141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11627141760 in words is "eleven billion, six hundred twenty-seven million, one hundred forty-one thousand, seven hundred sixty".