10573807608 has 768 divisors, whose sum is σ = 39591014400. Its totient is φ = 2586608640.

The previous prime is 10573807597. The next prime is 10573807631. The reversal of 10573807608 is 80670837501.

10573807608 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 38 + 0 + 7 + 608 = 666.

It is a super-2 number, since 2×10573807608² (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 191 ways as a sum of consecutive naturals, for example, 157817991 + ... + 157818057.

It is an arithmetic number, because the mean of its divisors is an integer number (51550800).

Almost surely, 2^10573807608 is an apocalyptic number.

10573807608 is a gapful number since it is divisible by the number (18) 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 10573807608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19795507200).

10573807608 is an abundant number, since it is smaller than the sum of its proper divisors (29017206792).

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

10573807608 is a wasteful number, since it uses less digits than its factorization.

10573807608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10573807608 in words is "ten billion, five hundred seventy-three million, eight hundred seven thousand, six hundred eight".