11540232000 has 560 divisors, whose sum is σ = 46602578880. Its totient is φ = 2795904000.

The previous prime is 11540231977. The next prime is 11540232007. The reversal of 11540232000 is 23204511.

It is a super-2 number, since 2×11540232000² (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 not an unprimeable number, because it can be changed into a prime (11540232007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7127191 + ... + 7128809.

Almost surely, 2^11540232000 is an apocalyptic number.

11540232000 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 11540232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301289440).

11540232000 is an abundant number, since it is smaller than the sum of its proper divisors (35062346880).

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

11540232000 is a wasteful number, since it uses less digits than its factorization.

11540232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11540232000 its reverse (23204511), we get a palindrome (11563436511).

The spelling of 11540232000 in words is "eleven billion, five hundred forty million, two hundred thirty-two thousand".