12074369535360 has 3072 divisors, whose sum is σ = 52082801971200. Its totient is φ = 2641162567680.

The previous prime is 12074369535343. The next prime is 12074369535409. The reversal of 12074369535360 is 6353596347021.

12074369535360 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 43 + 6 + 9 + 535 + 3 + 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 = 12074369535297 and 12074369535306.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 74075886639 + ... + 74075886801.

It is an arithmetic number, because the mean of its divisors is an integer number (16954037100).

Almost surely, 2^{12074369535360} is an apocalyptic number.

12074369535360 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 12074369535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26041400985600).

12074369535360 is an abundant number, since it is smaller than the sum of its proper divisors (40008432435840).

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

12074369535360 is a wasteful number, since it uses less digits than its factorization.

12074369535360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 12074369535360 in words is "twelve trillion, seventy-four billion, three hundred sixty-nine million, five hundred thirty-five thousand, three hundred sixty".