10004006024688 has 160 divisors (see below), whose sum is σ = 27919019457280. Its totient is φ = 3068504156160.

The previous prime is 10004006024687. The next prime is 10004006024737. The reversal of 10004006024688 is 88642060040001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004006024687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390722895 + ... + 390748497.

It is an arithmetic number, because the mean of its divisors is an integer number (174493871608).

Almost surely, 2^{10004006024688} 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 10004006024688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13959509728640).

10004006024688 is an abundant number, since it is smaller than the sum of its proper divisors (17915013432592).

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

10004006024688 is a wasteful number, since it uses less digits than its factorization.

10004006024688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27567 (or 27561 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

Adding to 10004006024688 its reverse (88642060040001), we get a palindrome (98646066064689).

The spelling of 10004006024688 in words is "ten trillion, four billion, six million, twenty-four thousand, six hundred eighty-eight".