11288532965952 has 448 divisors, whose sum is σ = 33919718621184. Its totient is φ = 3283417589760.

The previous prime is 11288532965923. The next prime is 11288532965993. The reversal of 11288532965952 is 25956923588211.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2817201133 + ... + 2817205139.

Almost surely, 2^{11288532965952} is an apocalyptic number.

11288532965952 is a gapful number since it is divisible by the number (12) 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 11288532965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959859310592).

11288532965952 is an abundant number, since it is smaller than the sum of its proper divisors (22631185655232).

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

11288532965952 is a wasteful number, since it uses less digits than its factorization.

11288532965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4596 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 66.

The spelling of 11288532965952 in words is "eleven trillion, two hundred eighty-eight billion, five hundred thirty-two million, nine hundred sixty-five thousand, nine hundred fifty-two".