12777922160640 has 3840 divisors, whose sum is σ = 60009661071360. Its totient is φ = 2528292372480.

The previous prime is 12777922160603. The next prime is 12777922160651. The reversal of 12777922160640 is 4606122977721.

12777922160640 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 7 + 9 + 2 + 21 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 100613560257 + ... + 100613560383.

It is an arithmetic number, because the mean of its divisors is an integer number (15627515904).

Almost surely, 2^{12777922160640} is an apocalyptic number.

12777922160640 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 12777922160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30004830535680).

12777922160640 is an abundant number, since it is smaller than the sum of its proper divisors (47231738910720).

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

12777922160640 is a wasteful number, since it uses less digits than its factorization.

12777922160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 12777922160640 in words is "twelve trillion, seven hundred seventy-seven billion, nine hundred twenty-two million, one hundred sixty thousand, six hundred forty".