10204608000 has 160 divisors (see below), whose sum is σ = 33928408800. Its totient is φ = 2721177600.

The previous prime is 10204607999. The next prime is 10204608019. The reversal of 10204608000 is 80640201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165426 + ... + 218574.

It is an arithmetic number, because the mean of its divisors is an integer number (212052555).

Almost surely, 2^10204608000 is an apocalyptic number.

10204608000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964204400).

10204608000 is an abundant number, since it is smaller than the sum of its proper divisors (23723800800).

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

10204608000 is an frugal number, since it uses more digits than its factorization.

10204608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53185 (or 53159 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 10204608000 in words is "ten billion, two hundred four million, six hundred eight thousand".