11668728780 has 288 divisors, whose sum is σ = 39032098560. Its totient is φ = 2917866240.

The previous prime is 11668728769. The next prime is 11668728833. The reversal of 11668728780 is 8782786611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9879790 + ... + 9880970.

It is an arithmetic number, because the mean of its divisors is an integer number (135528120).

Almost surely, 2^11668728780 is an apocalyptic number.

11668728780 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 11668728780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19516049280).

11668728780 is an abundant number, since it is smaller than the sum of its proper divisors (27363369780).

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

11668728780 is a wasteful number, since it uses less digits than its factorization.

11668728780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 11668728780 in words is "eleven billion, six hundred sixty-eight million, seven hundred twenty-eight thousand, seven hundred eighty".