10001615504 has 80 divisors (see below), whose sum is σ = 21585761280. Its totient is φ = 4467576960.

The previous prime is 10001615501. The next prime is 10001615509. The reversal of 10001615504 is 40551610001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 10001615504.

It is not an unprimeable number, because it can be changed into a prime (10001615501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486359 + ... + 506505.

It is an arithmetic number, because the mean of its divisors is an integer number (269822016).

Almost surely, 2^10001615504 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 10001615504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792880640).

10001615504 is an abundant number, since it is smaller than the sum of its proper divisors (11584145776).

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

10001615504 is a wasteful number, since it uses less digits than its factorization.

10001615504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20268 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 10001615504 in words is "ten billion, one million, six hundred fifteen thousand, five hundred four".