11520040000 has 140 divisors (see below), whose sum is σ = 32647599424. Its totient is φ = 3949632000.

The previous prime is 11520039997. The next prime is 11520040009. The reversal of 11520040000 is 4002511.

It is a tau number, because it is divible by the number of its divisors (140).

It is a super-2 number, since 2×11520040000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520040009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259429 + ... + 300571.

Almost surely, 2^11520040000 is an apocalyptic number.

11520040000 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 11520040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16323799712).

11520040000 is an abundant number, since it is smaller than the sum of its proper divisors (21127559424).

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

11520040000 is an frugal number, since it uses more digits than its factorization.

11520040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41182 (or 41157 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 11520040000 its reverse (4002511), we get a palindrome (11524042511).

The spelling of 11520040000 in words is "eleven billion, five hundred twenty million, forty thousand".