11627148120 has 128 divisors (see below), whose sum is σ = 40065408000. Its totient is φ = 2644240896.

The previous prime is 11627148119. The next prime is 11627148161. The reversal of 11627148120 is 2184172611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132382 + ... + 201938.

It is an arithmetic number, because the mean of its divisors is an integer number (313011000).

Almost surely, 2^11627148120 is an apocalyptic number.

11627148120 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 11627148120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20032704000).

11627148120 is an abundant number, since it is smaller than the sum of its proper divisors (28438259880).

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

11627148120 is a wasteful number, since it uses less digits than its factorization.

11627148120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69777 (or 69773 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 11627148120 in words is "eleven billion, six hundred twenty-seven million, one hundred forty-eight thousand, one hundred twenty".