7735728125352 has 64 divisors (see below), whose sum is σ = 19525975058880. Its totient is φ = 2553703345152.

The previous prime is 7735728125339. The next prime is 7735728125369. The reversal of 7735728125352 is 2535218275377.

It is a junction number, because it is equal to n+sod(n) for n = 7735728125292 and 7735728125301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8053158 + ... + 8962410.

It is an arithmetic number, because the mean of its divisors is an integer number (305093360295).

Almost surely, 2^{7735728125352} is an apocalyptic number.

It is an amenable number.

7735728125352 is an abundant number, since it is smaller than the sum of its proper divisors (11790246933528).

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

7735728125352 is a wasteful number, since it uses less digits than its factorization.

7735728125352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912682 (or 912678 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 57.

The spelling of 7735728125352 in words is "seven trillion, seven hundred thirty-five billion, seven hundred twenty-eight million, one hundred twenty-five thousand, three hundred fifty-two".