11666718720 has 456 divisors, whose sum is σ = 43184471616. Its totient is φ = 2906652672.

The previous prime is 11666718709. The next prime is 11666718737. The reversal of 11666718720 is 2781766611.

It is a super-2 number, since 2×11666718720² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271319019 + ... + 271319061.

Almost surely, 2^11666718720 is an apocalyptic number.

11666718720 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 11666718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21592235808).

11666718720 is an abundant number, since it is smaller than the sum of its proper divisors (31517752896).

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

11666718720 is an frugal number, since it uses more digits than its factorization.

11666718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11666718720 in words is "eleven billion, six hundred sixty-six million, seven hundred eighteen thousand, seven hundred twenty".