11626166760 has 128 divisors (see below), whose sum is σ = 37598964480. Its totient is φ = 2858969088.

The previous prime is 11626166749. The next prime is 11626166791. The reversal of 11626166760 is 6766162611.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1857957 + ... + 1864203.

It is an arithmetic number, because the mean of its divisors is an integer number (293741910).

Almost surely, 2^11626166760 is an apocalyptic number.

11626166760 is a gapful number since it is divisible by the number (10) 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 11626166760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18799482240).

11626166760 is an abundant number, since it is smaller than the sum of its proper divisors (25972797720).

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

11626166760 is a wasteful number, since it uses less digits than its factorization.

11626166760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7467 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 11626166760 in words is "eleven billion, six hundred twenty-six million, one hundred sixty-six thousand, seven hundred sixty".