11751252240 has 320 divisors, whose sum is σ = 47196979200. Its totient is φ = 2348808192.

The previous prime is 11751252229. The next prime is 11751252263. The reversal of 11751252240 is 4225215711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11751252198 and 11751252207.

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, 400801 + ... + 429119.

It is an arithmetic number, because the mean of its divisors is an integer number (147490560).

Almost surely, 2^11751252240 is an apocalyptic number.

11751252240 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 11751252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23598489600).

11751252240 is an abundant number, since it is smaller than the sum of its proper divisors (35445726960).

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

11751252240 is a wasteful number, since it uses less digits than its factorization.

11751252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28374 (or 28368 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

Adding to 11751252240 its reverse (4225215711), we get a palindrome (15976467951).

The spelling of 11751252240 in words is "eleven billion, seven hundred fifty-one million, two hundred fifty-two thousand, two hundred forty".