10543768560 has 960 divisors, whose sum is σ = 43755199488. Its totient is φ = 2248114176.

The previous prime is 10543768559. The next prime is 10543768589. The reversal of 10543768560 is 6586734501.

10543768560 is a `hidden beast` number, since 1 + 0 + 54 + 37 + 6 + 8 + 560 = 666.

10543768560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10543768560² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157369647 + ... + 157369713.

Almost surely, 2^10543768560 is an apocalyptic number.

10543768560 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 10543768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877599744).

10543768560 is an abundant number, since it is smaller than the sum of its proper divisors (33211430928).

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

10543768560 is a wasteful number, since it uses less digits than its factorization.

10543768560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10543768560 in words is "ten billion, five hundred forty-three million, seven hundred sixty-eight thousand, five hundred sixty".