11868822000 has 640 divisors, whose sum is σ = 51476705280. Its totient is φ = 2551910400.

The previous prime is 11868821981. The next prime is 11868822013. The reversal of 11868822000 is 22886811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6425077 + ... + 6426923.

It is an arithmetic number, because the mean of its divisors is an integer number (80432352).

Almost surely, 2^11868822000 is an apocalyptic number.

11868822000 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 11868822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).

11868822000 is an abundant number, since it is smaller than the sum of its proper divisors (39607883280).

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

11868822000 is a wasteful number, since it uses less digits than its factorization.

11868822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11868822000 in words is "eleven billion, eight hundred sixty-eight million, eight hundred twenty-two thousand".