10204590688 has 96 divisors (see below), whose sum is σ = 21296411136. Its totient is φ = 4803667968.

The previous prime is 10204590677. The next prime is 10204590719. The reversal of 10204590688 is 88609540201.

It is a happy number.

It is a super-2 number, since 2×10204590688² (a number of 21 digits) contains 22 as substring.

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, 17208120 + ... + 17208712.

It is an arithmetic number, because the mean of its divisors is an integer number (221837616).

Almost surely, 2^10204590688 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 10204590688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648205568).

10204590688 is an abundant number, since it is smaller than the sum of its proper divisors (11091820448).

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

10204590688 is a wasteful number, since it uses less digits than its factorization.

10204590688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 10204590688 in words is "ten billion, two hundred four million, five hundred ninety thousand, six hundred eighty-eight".