10011568608 has 72 divisors (see below), whose sum is σ = 28538369496. Its totient is φ = 3329222400.

The previous prime is 10011568603. The next prime is 10011568627. The reversal of 10011568608 is 80686511001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011568603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79963 + ... + 162533.

It is an arithmetic number, because the mean of its divisors is an integer number (396366243).

Almost surely, 2^10011568608 is an apocalyptic number.

10011568608 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 10011568608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14269184748).

10011568608 is an abundant number, since it is smaller than the sum of its proper divisors (18526800888).

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

10011568608 is a wasteful number, since it uses less digits than its factorization.

10011568608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83008 (or 82997 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10011568608 in words is "ten billion, eleven million, five hundred sixty-eight thousand, six hundred eight".