10260765002600 has 72 divisors (see below), whose sum is σ = 27751181291190. Its totient is φ = 3517976568960.

The previous prime is 10260765002573. The next prime is 10260765002641. The reversal of 10260765002600 is 620056706201.

It can be written as a sum of positive squares in 3 ways, for example, as 3818092552036 + 6442672450564 = 1953994^2 + 2538242^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 523498619 + ... + 523518218.

Almost surely, 2^{10260765002600} is an apocalyptic number.

10260765002600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10260765002600 is an abundant number, since it is smaller than the sum of its proper divisors (17490416288590).

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

10260765002600 is a wasteful number, since it uses less digits than its factorization.

10260765002600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047016867 (or 1047016851 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 10260765002600 in words is "ten trillion, two hundred sixty billion, seven hundred sixty-five million, two thousand, six hundred".