11330982647460 has 576 divisors, whose sum is σ = 41682377318400. Its totient is φ = 2529955192320.

The previous prime is 11330982647431. The next prime is 11330982647477. The reversal of 11330982647460 is 6474628903311.

11330982647460 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 98 + 26 + 474 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11330982647397 and 11330982647406.

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, 865019991 + ... + 865033089.

It is an arithmetic number, because the mean of its divisors is an integer number (72365238400).

Almost surely, 2^{11330982647460} is an apocalyptic number.

11330982647460 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 11330982647460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20841188659200).

11330982647460 is an abundant number, since it is smaller than the sum of its proper divisors (30351394670940).

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

11330982647460 is a wasteful number, since it uses less digits than its factorization.

11330982647460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13718 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 11330982647460 in words is "eleven trillion, three hundred thirty billion, nine hundred eighty-two million, six hundred forty-seven thousand, four hundred sixty".