11006237289852 has 576 divisors, whose sum is σ = 34205877888000. Its totient is φ = 2978479848960.

The previous prime is 11006237289841. The next prime is 11006237289871. The reversal of 11006237289852 is 25898273260011.

11006237289852 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 623 + 7 + 2 + 8 + 9 + 8 + 5 + 2 = 666.

11006237289852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11006237289852² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6789781602 + ... + 6789783222.

Almost surely, 2^{11006237289852} is an apocalyptic number.

11006237289852 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 11006237289852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102938944000).

11006237289852 is an abundant number, since it is smaller than the sum of its proper divisors (23199640598148).

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

11006237289852 is a wasteful number, since it uses less digits than its factorization.

11006237289852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 11006237289852 in words is "eleven trillion, six billion, two hundred thirty-seven million, two hundred eighty-nine thousand, eight hundred fifty-two".