10261027257756 has 96 divisors (see below), whose sum is σ = 26254660723200. Its totient is φ = 3093254841600.

The previous prime is 10261027257751. The next prime is 10261027257757. The reversal of 10261027257756 is 65775272016201.

10261027257756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10261027257699 and 10261027257708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261027257751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172840030 + ... + 172899386.

It is an arithmetic number, because the mean of its divisors is an integer number (273486049200).

Almost surely, 2^{10261027257756} 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 10261027257756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127330361600).

10261027257756 is an abundant number, since it is smaller than the sum of its proper divisors (15993633465444).

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

10261027257756 is a wasteful number, since it uses less digits than its factorization.

10261027257756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66155 (or 66153 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 10261027257756 in words is "ten trillion, two hundred sixty-one billion, twenty-seven million, two hundred fifty-seven thousand, seven hundred fifty-six".