10003574819904 has 168 divisors, whose sum is σ = 27721852254432. Its totient is φ = 3183406786560.

The previous prime is 10003574819857. The next prime is 10003574819957. The reversal of 10003574819904 is 40991847530001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52822407 + ... + 53011449.

It is an arithmetic number, because the mean of its divisors is an integer number (165011025324).

Almost surely, 2^{10003574819904} 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 10003574819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860926127216).

10003574819904 is an abundant number, since it is smaller than the sum of its proper divisors (17718277434528).

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

10003574819904 is a wasteful number, since it uses less digits than its factorization.

10003574819904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189625 (or 189592 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 10003574819904 in words is "ten trillion, three billion, five hundred seventy-four million, eight hundred nineteen thousand, nine hundred four".