10010351824 has 80 divisors (see below), whose sum is σ = 22137333120. Its totient is φ = 4340666880.

The previous prime is 10010351809. The next prime is 10010351861. The reversal of 10010351824 is 42815301001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603942 + ... + 1610170.

It is an arithmetic number, because the mean of its divisors is an integer number (276716664).

Almost surely, 2^10010351824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010351824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068666560).

10010351824 is an abundant number, since it is smaller than the sum of its proper divisors (12126981296).

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

10010351824 is a wasteful number, since it uses less digits than its factorization.

10010351824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 10010351824 its reverse (42815301001), we get a palindrome (52825652825).

The spelling of 10010351824 in words is "ten billion, ten million, three hundred fifty-one thousand, eight hundred twenty-four".