10015794624 has 224 divisors, whose sum is σ = 30149450496. Its totient is φ = 2907463680.

The previous prime is 10015794617. The next prime is 10015794643. The reversal of 10015794624 is 42649751001.

10015794624 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 2×10015794624² (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 31 ways as a sum of consecutive naturals, for example, 5234692 + ... + 5236604.

Almost surely, 2^10015794624 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 10015794624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074725248).

10015794624 is an abundant number, since it is smaller than the sum of its proper divisors (20133655872).

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

10015794624 is a wasteful number, since it uses less digits than its factorization.

10015794624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 10015794624 in words is "ten billion, fifteen million, seven hundred ninety-four thousand, six hundred twenty-four".