2768733121825 has 144 divisors (see below), whose sum is σ = 4152621893760. Its totient is φ = 1813460992000.

The previous prime is 2768733121811. The next prime is 2768733121849. The reversal of 2768733121825 is 5281213378672.

It is a happy number.

2768733121825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2768733121825 - 2⁷ = 2768733121697 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 260434260 + ... + 260444890.

It is an arithmetic number, because the mean of its divisors is an integer number (28837652040).

Almost surely, 2^{2768733121825} is an apocalyptic number.

2768733121825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2768733121825 is a deficient number, since it is larger than the sum of its proper divisors (1383888771935).

2768733121825 is a wasteful number, since it uses less digits than its factorization.

2768733121825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10828 (or 10806 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 55.

The spelling of 2768733121825 in words is "two trillion, seven hundred sixty-eight billion, seven hundred thirty-three million, one hundred twenty-one thousand, eight hundred twenty-five".