10002889624 has 192 divisors, whose sum is σ = 24918451200. Its totient is φ = 3672594432.

The previous prime is 10002889613. The next prime is 10002889649. The reversal of 10002889624 is 42698820001.

It is a super-2 number, since 2×10002889624² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12709759 + ... + 12710545.

It is an arithmetic number, because the mean of its divisors is an integer number (129783600).

Almost surely, 2^10002889624 is an apocalyptic number.

10002889624 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 10002889624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12459225600).

10002889624 is an abundant number, since it is smaller than the sum of its proper divisors (14915561576).

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

10002889624 is a wasteful number, since it uses less digits than its factorization.

10002889624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 10002889624 in words is "ten billion, two million, eight hundred eighty-nine thousand, six hundred twenty-four".