11006543952 has 40 divisors (see below), whose sum is σ = 31592858880. Its totient is φ = 3668847840.

The previous prime is 11006543941. The next prime is 11006543959. The reversal of 11006543952 is 25934560011.

11006543952 is a `hidden beast` number, since 1 + 100 + 6 + 543 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×11006543952² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006543959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12738624 + ... + 12739487.

It is an arithmetic number, because the mean of its divisors is an integer number (789821472).

Almost surely, 2^11006543952 is an apocalyptic number.

11006543952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11006543952 is an abundant number, since it is smaller than the sum of its proper divisors (20586314928).

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

11006543952 is a wasteful number, since it uses less digits than its factorization.

11006543952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25478128 (or 25478116 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11006543952 in words is "eleven billion, six million, five hundred forty-three thousand, nine hundred fifty-two".