12357072352800 has 864 divisors, whose sum is σ = 53424386870400. Its totient is φ = 2727069327360.

The previous prime is 12357072352753. The next prime is 12357072352811. The reversal of 12357072352800 is 825327075321.

12357072352800 is a `hidden beast` number, since 1 + 2 + 3 + 57 + 0 + 72 + 3 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39306636 + ... + 39619764.

It is an arithmetic number, because the mean of its divisors is an integer number (61833781100).

Almost surely, 2^{12357072352800} is an apocalyptic number.

12357072352800 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 12357072352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712193435200).

12357072352800 is an abundant number, since it is smaller than the sum of its proper divisors (41067314517600).

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

12357072352800 is a wasteful number, since it uses less digits than its factorization.

12357072352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313200 (or 313175 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 12357072352800 in words is "twelve trillion, three hundred fifty-seven billion, seventy-two million, three hundred fifty-two thousand, eight hundred".