10263386880 has 504 divisors, whose sum is σ = 39087673632. Its totient is φ = 2571927552.

The previous prime is 10263386873. The next prime is 10263386927. The reversal of 10263386880 is 8868336201.

10263386880 is a `hidden beast` number, since 1 + 0 + 2 + 633 + 8 + 6 + 8 + 8 + 0 = 666.

10263386880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10263386880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 15862717 + ... + 15863363.

It is an arithmetic number, because the mean of its divisors is an integer number (77554908).

Almost surely, 2^10263386880 is an apocalyptic number.

10263386880 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 10263386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543836816).

10263386880 is an abundant number, since it is smaller than the sum of its proper divisors (28824286752).

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

10263386880 is an frugal number, since it uses more digits than its factorization.

10263386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10263386880 in words is "ten billion, two hundred sixty-three million, three hundred eighty-six thousand, eight hundred eighty".