10508290884 has 324 divisors, whose sum is σ = 33887189700. Its totient is φ = 2736115200.

The previous prime is 10508290847. The next prime is 10508290901. The reversal of 10508290884 is 48809280501.

It is a happy number.

10508290884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6140484 + 10502150400 = 2478^2 + 102480^2 .

It is a super-2 number, since 2×10508290884² (a number of 21 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 30109542 + ... + 30109890.

Almost surely, 2^10508290884 is an apocalyptic number.

10508290884 is a gapful number since it is divisible by the number (14) 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 10508290884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943594850).

10508290884 is an abundant number, since it is smaller than the sum of its proper divisors (23378898816).

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

10508290884 is a wasteful number, since it uses less digits than its factorization.

10508290884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10508290884 in words is "ten billion, five hundred eight million, two hundred ninety thousand, eight hundred eighty-four".