10260658848 has 192 divisors, whose sum is σ = 30695293440. Its totient is φ = 2973312000.

The previous prime is 10260658843. The next prime is 10260658909. The reversal of 10260658848 is 84885606201.

It is a happy number.

It is a super-2 number, since 2×10260658848² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10260658797 and 10260658806.

It is not an unprimeable number, because it can be changed into a prime (10260658843) 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, 2303023 + ... + 2307473.

It is an arithmetic number, because the mean of its divisors is an integer number (159871320).

Almost surely, 2^10260658848 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 10260658848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15347646720).

10260658848 is an abundant number, since it is smaller than the sum of its proper divisors (20434634592).

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

10260658848 is a wasteful number, since it uses less digits than its factorization.

10260658848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 10260658848 in words is "ten billion, two hundred sixty million, six hundred fifty-eight thousand, eight hundred forty-eight".