10210282960 has 40 divisors (see below), whose sum is σ = 25135317576. Its totient is φ = 3843870720.

The previous prime is 10210282933. The next prime is 10210282993. The reversal of 10210282960 is 6928201201.

It can be written as a sum of positive squares in 4 ways, for example, as 668119104 + 9542163856 = 25848^2 + 97684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3752421 + ... + 3755140.

Almost surely, 2^10210282960 is an apocalyptic number.

10210282960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210282960 is an abundant number, since it is smaller than the sum of its proper divisors (14925034616).

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

10210282960 is a wasteful number, since it uses less digits than its factorization.

10210282960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507591 (or 7507585 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 10210282960 in words is "ten billion, two hundred ten million, two hundred eighty-two thousand, nine hundred sixty".