11006006105976 has 32 divisors (see below), whose sum is σ = 31445731731840. Its totient is φ = 3144573173088.

The previous prime is 11006006105923. The next prime is 11006006105981. The reversal of 11006006105976 is 67950160060011.

It is a super-2 number, since 2×11006006105976² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32755970386 + ... + 32755970721.

It is an arithmetic number, because the mean of its divisors is an integer number (982679116620).

Almost surely, 2^{11006006105976} is an apocalyptic number.

It is an amenable number.

11006006105976 is an abundant number, since it is smaller than the sum of its proper divisors (20439725625864).

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

11006006105976 is a wasteful number, since it uses less digits than its factorization.

11006006105976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65511941123 (or 65511941119 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

Adding to 11006006105976 its reverse (67950160060011), we get a palindrome (78956166165987).

The spelling of 11006006105976 in words is "eleven trillion, six billion, six million, one hundred five thousand, nine hundred seventy-six".