10283264880 has 160 divisors (see below), whose sum is σ = 36808310784. Its totient is φ = 2326192128.

The previous prime is 10283264867. The next prime is 10283264881. The reversal of 10283264880 is 8846238201.

It is a happy number.

10283264880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10283264881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 131409 + ... + 194511.

Almost surely, 2^10283264880 is an apocalyptic number.

10283264880 is a gapful number since it is divisible by the number (10) 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 10283264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404155392).

10283264880 is an abundant number, since it is smaller than the sum of its proper divisors (26525045904).

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

10283264880 is a wasteful number, since it uses less digits than its factorization.

10283264880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63223 (or 63217 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 10283264880 in words is "ten billion, two hundred eighty-three million, two hundred sixty-four thousand, eight hundred eighty".