11921364000 has 768 divisors, whose sum is σ = 53451740160. Its totient is φ = 2513203200.

The previous prime is 11921363981. The next prime is 11921364011. The reversal of 11921364000 is 46312911.

11921364000 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 13 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9827394 + ... + 9828606.

It is an arithmetic number, because the mean of its divisors is an integer number (69598620).

Almost surely, 2^11921364000 is an apocalyptic number.

11921364000 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 11921364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26725870080).

11921364000 is an abundant number, since it is smaller than the sum of its proper divisors (41530376160).

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

11921364000 is a wasteful number, since it uses less digits than its factorization.

11921364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 11921364000 its reverse (46312911), we get a palindrome (11967676911).

The spelling of 11921364000 in words is "eleven billion, nine hundred twenty-one million, three hundred sixty-four thousand".