11785517451360 has 72 divisors (see below), whose sum is σ = 40218078307680. Its totient is φ = 3142804653312.

The previous prime is 11785517451349. The next prime is 11785517451457. The reversal of 11785517451360 is 6315471558711.

It is a happy number.

11785517451360 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 5 + 51 + 74 + 513 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11785517451360² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11785517451297 and 11785517451306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4092192120 + ... + 4092194999.

It is an arithmetic number, because the mean of its divisors is an integer number (558584420940).

Almost surely, 2^{11785517451360} is an apocalyptic number.

11785517451360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11785517451360 is an abundant number, since it is smaller than the sum of its proper divisors (28432560856320).

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

11785517451360 is a wasteful number, since it uses less digits than its factorization.

11785517451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184387140 (or 8184387129 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 11785517451360 in words is "eleven trillion, seven hundred eighty-five billion, five hundred seventeen million, four hundred fifty-one thousand, three hundred sixty".