10312785756 has 192 divisors, whose sum is σ = 33078528000. Its totient is φ = 2705674752.

The previous prime is 10312785727. The next prime is 10312785757. The reversal of 10312785756 is 65758721301.

It is a happy number.

10312785756 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 78 + 575 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312785757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953136 + ... + 1958408.

It is an arithmetic number, because the mean of its divisors is an integer number (172284000).

Almost surely, 2^10312785756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312785756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539264000).

10312785756 is an abundant number, since it is smaller than the sum of its proper divisors (22765742244).

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

10312785756 is a wasteful number, since it uses less digits than its factorization.

10312785756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10312785756 in words is "ten billion, three hundred twelve million, seven hundred eighty-five thousand, seven hundred fifty-six".