10561020960 has 288 divisors, whose sum is σ = 39235093632. Its totient is φ = 2380492800.

The previous prime is 10561020949. The next prime is 10561020961. The reversal of 10561020960 is 6902016501.

It is a super-2 number, since 2×10561020960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10561020961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1713885 + ... + 1720035.

It is an arithmetic number, because the mean of its divisors is an integer number (136232964).

Almost surely, 2^10561020960 is an apocalyptic number.

10561020960 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 10561020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19617546816).

10561020960 is an abundant number, since it is smaller than the sum of its proper divisors (28674072672).

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

10561020960 is a wasteful number, since it uses less digits than its factorization.

10561020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 10561020960 in words is "ten billion, five hundred sixty-one million, twenty thousand, nine hundred sixty".