11734400000 has 264 divisors, whose sum is σ = 31022858160. Its totient is φ = 4423680000.

The previous prime is 11734399987. The next prime is 11734400003. The reversal of 11734400000 is 443711.

It is a super-2 number, since 2×11734400000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11734400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60799904 + ... + 60800096.

Almost surely, 2^11734400000 is an apocalyptic number.

11734400000 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 11734400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15511429080).

11734400000 is an abundant number, since it is smaller than the sum of its proper divisors (19288458160).

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

11734400000 is an frugal number, since it uses more digits than its factorization.

11734400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 11734400000 its reverse (443711), we get a palindrome (11734843711).

The spelling of 11734400000 in words is "eleven billion, seven hundred thirty-four million, four hundred thousand".