10263180816 has 240 divisors, whose sum is σ = 34158924800. Its totient is φ = 2922251904.

The previous prime is 10263180749. The next prime is 10263180833. The reversal of 10263180816 is 61808136201.

10263180816 is a `hidden beast` number, since 1 + 0 + 2 + 631 + 8 + 0 + 8 + 16 = 666.

10263180816 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 (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11947395 + ... + 11948253.

Almost surely, 2^10263180816 is an apocalyptic number.

10263180816 is a gapful number since it is divisible by the number (16) 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 10263180816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079462400).

10263180816 is an abundant number, since it is smaller than the sum of its proper divisors (23895743984).

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

10263180816 is an equidigital number, since it uses as much as digits as its factorization.

10263180816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10263180816 in words is "ten billion, two hundred sixty-three million, one hundred eighty thousand, eight hundred sixteen".