11506562166 has 96 divisors (see below), whose sum is σ = 26737705728. Its totient is φ = 3273269760.

The previous prime is 11506562159. The next prime is 11506562173. The reversal of 11506562166 is 66126560511.

It is an interprime number because it is at equal distance from previous prime (11506562159) and next prime (11506562173).

It is a super-2 number, since 2×11506562166² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13980831 + ... + 13981653.

It is an arithmetic number, because the mean of its divisors is an integer number (278517768).

Almost surely, 2^11506562166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11506562166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368852864).

11506562166 is an abundant number, since it is smaller than the sum of its proper divisors (15231143562).

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

11506562166 is a wasteful number, since it uses less digits than its factorization.

11506562166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 11506562166 in words is "eleven billion, five hundred six million, five hundred sixty-two thousand, one hundred sixty-six".