10564853760 has 448 divisors, whose sum is σ = 38642909760. Its totient is φ = 2736783360.

The previous prime is 10564853759. The next prime is 10564853771. The reversal of 10564853760 is 6735846501.

10564853760 is a `hidden beast` number, since 1 + 0 + 56 + 4 + 8 + 537 + 60 = 666.

It is a super-2 number, since 2×10564853760² (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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45342604 + ... + 45342836.

It is an arithmetic number, because the mean of its divisors is an integer number (86256495).

Almost surely, 2^10564853760 is an apocalyptic number.

10564853760 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 10564853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321454880).

10564853760 is an abundant number, since it is smaller than the sum of its proper divisors (28078056000).

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

10564853760 is an equidigital number, since it uses as much as digits as its factorization.

10564853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

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

The spelling of 10564853760 in words is "ten billion, five hundred sixty-four million, eight hundred fifty-three thousand, seven hundred sixty".