11310613332480 has 2880 divisors, whose sum is σ = 51871972838400. Its totient is φ = 2250405642240.

The previous prime is 11310613332451. The next prime is 11310613332511. The reversal of 11310613332480 is 8423331601311.

11310613332480 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 613 + 3 + 32 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31505886541 + ... + 31505886899.

It is an arithmetic number, because the mean of its divisors is an integer number (18011101680).

Almost surely, 2^{11310613332480} is an apocalyptic number.

11310613332480 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 11310613332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25935986419200).

11310613332480 is an abundant number, since it is smaller than the sum of its proper divisors (40561359505920).

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

11310613332480 is a wasteful number, since it uses less digits than its factorization.

11310613332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 11310613332480 its reverse (8423331601311), we get a palindrome (19733944933791).

The spelling of 11310613332480 in words is "eleven trillion, three hundred ten billion, six hundred thirteen million, three hundred thirty-two thousand, four hundred eighty".