10575561960 has 384 divisors, whose sum is σ = 38690841600. Its totient is φ = 2566287360.

The previous prime is 10575561959. The next prime is 10575561961. The reversal of 10575561960 is 6916557501.

10575561960 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 556 + 1 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10575561959) and next prime (10575561961).

It is a super-2 number, since 2×10575561960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10575561961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9675174 + ... + 9676266.

It is an arithmetic number, because the mean of its divisors is an integer number (100757400).

Almost surely, 2^10575561960 is an apocalyptic number.

10575561960 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 10575561960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19345420800).

10575561960 is an abundant number, since it is smaller than the sum of its proper divisors (28115279640).

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

10575561960 is a wasteful number, since it uses less digits than its factorization.

10575561960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 10575561960 in words is "ten billion, five hundred seventy-five million, five hundred sixty-one thousand, nine hundred sixty".