10563855120 has 720 divisors, whose sum is σ = 45939059712. Its totient is φ = 2154055680.

The previous prime is 10563855119. The next prime is 10563855139. The reversal of 10563855120 is 2155836501.

It is a happy number.

10563855120 is a `hidden beast` number, since 1 + 0 + 5 + 63 + 85 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10563855120² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14217469 + ... + 14218211.

Almost surely, 2^10563855120 is an apocalyptic number.

10563855120 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 10563855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22969529856).

10563855120 is an abundant number, since it is smaller than the sum of its proper divisors (35375204592).

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

10563855120 is a wasteful number, since it uses less digits than its factorization.

10563855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10563855120 in words is "ten billion, five hundred sixty-three million, eight hundred fifty-five thousand, one hundred twenty".