10260657552 has 80 divisors (see below), whose sum is σ = 27919919360. Its totient is φ = 3238102656.

The previous prime is 10260657523. The next prime is 10260657559. The reversal of 10260657552 is 25575606201.

It is a self number, because there is not a number n which added to its sum of digits gives 10260657552.

It is not an unprimeable number, because it can be changed into a prime (10260657559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2006583 + ... + 2011689.

It is an arithmetic number, because the mean of its divisors is an integer number (348998992).

Almost surely, 2^10260657552 is an apocalyptic number.

10260657552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10260657552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13959959680).

10260657552 is an abundant number, since it is smaller than the sum of its proper divisors (17659261808).

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

10260657552 is a wasteful number, since it uses less digits than its factorization.

10260657552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 10260657552 in words is "ten billion, two hundred sixty million, six hundred fifty-seven thousand, five hundred fifty-two".