11952027648 has 432 divisors, whose sum is σ = 39762712080. Its totient is φ = 3449487360.

The previous prime is 11952027643. The next prime is 11952027683. The reversal of 11952027648 is 84672025911.

11952027648 is a `hidden beast` number, since 1 + 19 + 520 + 2 + 76 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11952027643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51296140 + ... + 51296372.

It is an arithmetic number, because the mean of its divisors is an integer number (92043315).

Almost surely, 2^11952027648 is an apocalyptic number.

11952027648 is a gapful number since it is divisible by the number (18) 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 11952027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19881356040).

11952027648 is an abundant number, since it is smaller than the sum of its proper divisors (27810684432).

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

11952027648 is a wasteful number, since it uses less digits than its factorization.

11952027648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11952027648 in words is "eleven billion, nine hundred fifty-two million, twenty-seven thousand, six hundred forty-eight".