10002645504 has 320 divisors, whose sum is σ = 32385070080. Its totient is φ = 3034644480.

The previous prime is 10002645503. The next prime is 10002645517. The reversal of 10002645504 is 40554620001.

10002645504 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 645 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10002645503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7284562 + ... + 7285934.

It is an arithmetic number, because the mean of its divisors is an integer number (101203344).

Almost surely, 2^10002645504 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 10002645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192535040).

10002645504 is an abundant number, since it is smaller than the sum of its proper divisors (22382424576).

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

10002645504 is a wasteful number, since it uses less digits than its factorization.

10002645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

It can be divided in two parts, 100026 and 45504, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 10002645504 in words is "ten billion, two million, six hundred forty-five thousand, five hundred four".