11952552252960 has 768 divisors, whose sum is σ = 47291065920000. Its totient is φ = 2792910274560.

The previous prime is 11952552252919. The next prime is 11952552252997. The reversal of 11952552252960 is 6925225525911.

11952552252960 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 2 + 5 + 52 + 2 + 529 + 60 = 666.

11952552252960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11952552252897 and 11952552252906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 844755966 + ... + 844770114.

It is an arithmetic number, because the mean of its divisors is an integer number (61576908750).

Almost surely, 2^{11952552252960} is an apocalyptic number.

11952552252960 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 11952552252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23645532960000).

11952552252960 is an abundant number, since it is smaller than the sum of its proper divisors (35338513667040).

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

11952552252960 is a wasteful number, since it uses less digits than its factorization.

11952552252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14826 (or 14812 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 11952552252960 in words is "eleven trillion, nine hundred fifty-two billion, five hundred fifty-two million, two hundred fifty-two thousand, nine hundred sixty".