11666210976 has 480 divisors, whose sum is σ = 42288744960. Its totient is φ = 3080415744.

The previous prime is 11666210929. The next prime is 11666210981. The reversal of 11666210976 is 67901266611.

It is a super-3 number, since 3×11666210976³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14823255 + ... + 14824041.

It is an arithmetic number, because the mean of its divisors is an integer number (88101552).

Almost surely, 2^11666210976 is an apocalyptic number.

11666210976 is a gapful number since it is divisible by the number (16) 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 11666210976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144372480).

11666210976 is an abundant number, since it is smaller than the sum of its proper divisors (30622533984).

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

11666210976 is a wasteful number, since it uses less digits than its factorization.

11666210976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11666210976 in words is "eleven billion, six hundred sixty-six million, two hundred ten thousand, nine hundred seventy-six".