11006508051957 has 8 divisors (see below), whose sum is σ = 16009466257440. Its totient is φ = 6670610940560.

The previous prime is 11006508051953. The next prime is 11006508051967. The reversal of 11006508051957 is 75915080560011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11006508051957 - 2² = 11006508051953 is a prime.

It is a super-2 number, since 2×11006508051957² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006508051953) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 166765273482 + ... + 166765273547.

It is an arithmetic number, because the mean of its divisors is an integer number (2001183282180).

Almost surely, 2^{11006508051957} is an apocalyptic number.

It is an amenable number.

11006508051957 is a deficient number, since it is larger than the sum of its proper divisors (5002958205483).

11006508051957 is a wasteful number, since it uses less digits than its factorization.

11006508051957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333530547043.

The product of its (nonzero) digits is 378000, while the sum is 48.

The spelling of 11006508051957 in words is "eleven trillion, six billion, five hundred eight million, fifty-one thousand, nine hundred fifty-seven".