11740032000 has 704 divisors, whose sum is σ = 44961945600. Its totient is φ = 3019161600.

The previous prime is 11740031977. The next prime is 11740032011. The reversal of 11740032000 is 23004711.

It is a super-2 number, since 2×11740032000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148607961 + ... + 148608039.

It is an arithmetic number, because the mean of its divisors is an integer number (63866400).

Almost surely, 2^11740032000 is an apocalyptic number.

11740032000 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 11740032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22480972800).

11740032000 is an abundant number, since it is smaller than the sum of its proper divisors (33221913600).

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

11740032000 is an equidigital number, since it uses as much as digits as its factorization.

11740032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 11740032000 its reverse (23004711), we get a palindrome (11763036711).

The spelling of 11740032000 in words is "eleven billion, seven hundred forty million, thirty-two thousand".