11331005416560 has 240 divisors, whose sum is σ = 40735666083840. Its totient is φ = 2924130274560.

The previous prime is 11331005416559. The next prime is 11331005416571. The reversal of 11331005416560 is 6561450013311.

11331005416560 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 100 + 541 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11331005416560² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8798500 + ... + 10003779.

It is an arithmetic number, because the mean of its divisors is an integer number (169731942016).

Almost surely, 2^{11331005416560} is an apocalyptic number.

11331005416560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331005416560 is an abundant number, since it is smaller than the sum of its proper divisors (29404660667280).

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

11331005416560 is a wasteful number, since it uses less digits than its factorization.

11331005416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18802338 (or 18802320 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 11331005416560 its reverse (6561450013311), we get a palindrome (17892455429871).

The spelling of 11331005416560 in words is "eleven trillion, three hundred thirty-one billion, five million, four hundred sixteen thousand, five hundred sixty".