12283869797640 has 1536 divisors, whose sum is σ = 50031820800000. Its totient is φ = 2606854440960.

The previous prime is 12283869797557. The next prime is 12283869797677. The reversal of 12283869797640 is 4679796838221.

12283869797640 is a `hidden beast` number, since 12 + 2 + 8 + 386 + 97 + 97 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 26531036049 + ... + 26531036511.

It is an arithmetic number, because the mean of its divisors is an integer number (32572800000).

Almost surely, 2^{12283869797640} is an apocalyptic number.

12283869797640 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 12283869797640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25015910400000).

12283869797640 is an abundant number, since it is smaller than the sum of its proper divisors (37747951002360).

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

12283869797640 is a wasteful number, since it uses less digits than its factorization.

12283869797640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 12283869797640 in words is "twelve trillion, two hundred eighty-three billion, eight hundred sixty-nine million, seven hundred ninety-seven thousand, six hundred forty".