11900459088 has 400 divisors, whose sum is σ = 42311280000. Its totient is φ = 3218890752.

The previous prime is 11900459071. The next prime is 11900459089. The reversal of 11900459088 is 88095400911.

11900459088 is a `hidden beast` number, since 1 + 190 + 0 + 459 + 0 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11900459089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8445328 + ... + 8446736.

It is an arithmetic number, because the mean of its divisors is an integer number (105778200).

Almost surely, 2^11900459088 is an apocalyptic number.

11900459088 is a gapful number since it is divisible by the number (18) 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 11900459088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21155640000).

11900459088 is an abundant number, since it is smaller than the sum of its proper divisors (30410820912).

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

11900459088 is a wasteful number, since it uses less digits than its factorization.

11900459088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

Adding to 11900459088 its reverse (88095400911), we get a palindrome (99995859999).

The spelling of 11900459088 in words is "eleven billion, nine hundred million, four hundred fifty-nine thousand, eighty-eight".