11751489360 has 960 divisors, whose sum is σ = 49721817600. Its totient is φ = 2467086336.

The previous prime is 11751489349. The next prime is 11751489397. The reversal of 11751489360 is 6398415711.

11751489360 is a `hidden beast` number, since 117 + 51 + 489 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 510934309 + ... + 510934331.

It is an arithmetic number, because the mean of its divisors is an integer number (51793560).

Almost surely, 2^11751489360 is an apocalyptic number.

11751489360 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 11751489360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24860908800).

11751489360 is an abundant number, since it is smaller than the sum of its proper divisors (37970328240).

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

11751489360 is a wasteful number, since it uses less digits than its factorization.

11751489360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11751489360 in words is "eleven billion, seven hundred fifty-one million, four hundred eighty-nine thousand, three hundred sixty".