12357364699680 has 1152 divisors, whose sum is σ = 53715141881856. Its totient is φ = 2347165900800.

The previous prime is 12357364699663. The next prime is 12357364699681. The reversal of 12357364699680 is 8699646375321.

It is not an unprimeable number, because it can be changed into a prime (12357364699681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 346408245 + ... + 346443915.

It is an arithmetic number, because the mean of its divisors is an integer number (46627727328).

It is a 1-persistent number, because it is pandigital, but 2⋅12357364699680 = 24714729399360 is not.

Almost surely, 2^{12357364699680} is an apocalyptic number.

12357364699680 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 12357364699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26857570940928).

12357364699680 is an abundant number, since it is smaller than the sum of its proper divisors (41357777182176).

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

12357364699680 is a wasteful number, since it uses less digits than its factorization.

12357364699680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35830 (or 35815 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 12357364699680 in words is "twelve trillion, three hundred fifty-seven billion, three hundred sixty-four million, six hundred ninety-nine thousand, six hundred eighty".