12450920777568 has 2880 divisors, whose sum is σ = 50867974080000. Its totient is φ = 2959550576640.

The previous prime is 12450920777563. The next prime is 12450920777569. The reversal of 12450920777568 is 86577702905421.

12450920777568 is a `hidden beast` number, since 1 + 2 + 4 + 509 + 2 + 0 + 7 + 77 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12450920777563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 211032555523 + ... + 211032555581.

It is an arithmetic number, because the mean of its divisors is an integer number (17662491000).

Almost surely, 2^{12450920777568} is an apocalyptic number.

12450920777568 is a gapful number since it is divisible by the number (18) 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 12450920777568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433987040000).

12450920777568 is an abundant number, since it is smaller than the sum of its proper divisors (38417053302432).

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

12450920777568 is a wasteful number, since it uses less digits than its factorization.

12450920777568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 12450920777568 in words is "twelve trillion, four hundred fifty billion, nine hundred twenty million, seven hundred seventy-seven thousand, five hundred sixty-eight".