11668020000 has 480 divisors, whose sum is σ = 47127814272. Its totient is φ = 2460672000.

The previous prime is 11668019999. The next prime is 11668020017. The reversal of 11668020000 is 2086611.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11668020000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5458932 + ... + 5461068.

Almost surely, 2^11668020000 is an apocalyptic number.

11668020000 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 11668020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23563907136).

11668020000 is an abundant number, since it is smaller than the sum of its proper divisors (35459794272).

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

11668020000 is a wasteful number, since it uses less digits than its factorization.

11668020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 11668020000 in words is "eleven billion, six hundred sixty-eight million, twenty thousand".