10848567560 has 128 divisors (see below), whose sum is σ = 26291520000. Its totient is φ = 4016563200.

The previous prime is 10848567547. The next prime is 10848567601. The reversal of 10848567560 is 6576584801.

It is a junction number, because it is equal to n+sod(n) for n = 10848567499 and 10848567508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6063146 + ... + 6064934.

It is an arithmetic number, because the mean of its divisors is an integer number (205402500).

Almost surely, 2^10848567560 is an apocalyptic number.

10848567560 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 10848567560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145760000).

10848567560 is an abundant number, since it is smaller than the sum of its proper divisors (15442952440).

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

10848567560 is a wasteful number, since it uses less digits than its factorization.

10848567560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 10848567560 in words is "ten billion, eight hundred forty-eight million, five hundred sixty-seven thousand, five hundred sixty".