10266018048 has 216 divisors, whose sum is σ = 34775307840. Its totient is φ = 2871521280.

The previous prime is 10266018047. The next prime is 10266018071. The reversal of 10266018048 is 84081066201.

10266018048 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 601 + 8 + 0 + 48 = 666.

It is a super-2 number, since 2×10266018048² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10266018047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313893 + ... + 345051.

Almost surely, 2^10266018048 is an apocalyptic number.

10266018048 is a gapful number since it is divisible by the number (18) 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 10266018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387653920).

10266018048 is an abundant number, since it is smaller than the sum of its proper divisors (24509289792).

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

10266018048 is a wasteful number, since it uses less digits than its factorization.

10266018048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31205 (or 31188 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10266018048 in words is "ten billion, two hundred sixty-six million, eighteen thousand, forty-eight".