12765023863200 has 792 divisors, whose sum is σ = 53422707165408. Its totient is φ = 2917644157440.

The previous prime is 12765023863177. The next prime is 12765023863211. The reversal of 12765023863200 is 236832056721.

12765023863200 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 5 + 0 + 2 + 3 + 8 + 632 + 0 + 0 = 666.

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

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 131 ways as a sum of consecutive naturals, for example, 330655099 + ... + 330693701.

Almost surely, 2^{12765023863200} is an apocalyptic number.

12765023863200 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 12765023863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26711353582704).

12765023863200 is an abundant number, since it is smaller than the sum of its proper divisors (40657683302208).

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

12765023863200 is an frugal number, since it uses more digits than its factorization.

12765023863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38660 (or 38620 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12765023863200 in words is "twelve trillion, seven hundred sixty-five billion, twenty-three million, eight hundred sixty-three thousand, two hundred".