10563860160 has 896 divisors, whose sum is σ = 46524672000. Its totient is φ = 2201665536.

The previous prime is 10563860159. The next prime is 10563860161. The reversal of 10563860160 is 6106836501.

It is a happy number.

10563860160 is a `hidden beast` number, since 1 + 0 + 5 + 638 + 6 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10563860159) and next prime (10563860161).

It is a super-2 number, since 2×10563860160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10563860161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33324322 + ... + 33324638.

Almost surely, 2^10563860160 is an apocalyptic number.

10563860160 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 10563860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23262336000).

10563860160 is an abundant number, since it is smaller than the sum of its proper divisors (35960811840).

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

10563860160 is a wasteful number, since it uses less digits than its factorization.

10563860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10563860160 in words is "ten billion, five hundred sixty-three million, eight hundred sixty thousand, one hundred sixty".