11498840663040 has 1760 divisors, whose sum is σ = 45111530534400. Its totient is φ = 2791058964480.

The previous prime is 11498840663003. The next prime is 11498840663053. The reversal of 11498840663040 is 4036604889411.

11498840663040 is a `hidden beast` number, since 1 + 1 + 498 + 84 + 0 + 6 + 6 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 22591042306 + ... + 22591042814.

It is an arithmetic number, because the mean of its divisors is an integer number (25631551440).

Almost surely, 2^{11498840663040} is an apocalyptic number.

11498840663040 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 11498840663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22555765267200).

11498840663040 is an abundant number, since it is smaller than the sum of its proper divisors (33612689871360).

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

11498840663040 is a wasteful number, since it uses less digits than its factorization.

11498840663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11498840663040 in words is "eleven trillion, four hundred ninety-eight billion, eight hundred forty million, six hundred sixty-three thousand, forty".