11761666560 has 960 divisors, whose sum is σ = 50261283072. Its totient is φ = 2579890176.

The previous prime is 11761666549. The next prime is 11761666571. The reversal of 11761666560 is 6566616711.

It is an interprime number because it is at equal distance from previous prime (11761666549) and next prime (11761666571).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161118684 + ... + 161118756.

Almost surely, 2^11761666560 is an apocalyptic number.

11761666560 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 11761666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25130641536).

11761666560 is an abundant number, since it is smaller than the sum of its proper divisors (38499616512).

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

11761666560 is an frugal number, since it uses more digits than its factorization.

11761666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11761666560 in words is "eleven billion, seven hundred sixty-one million, six hundred sixty-six thousand, five hundred sixty".