10563652260 has 288 divisors, whose sum is σ = 38758137600. Its totient is φ = 2414168064.

The previous prime is 10563652241. The next prime is 10563652283. The reversal of 10563652260 is 6225636501.

It is a happy number.

10563652260 is a `hidden beast` number, since 10 + 5 + 63 + 6 + 522 + 60 = 666.

It is a super-2 number, since 2×10563652260² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1663812 + ... + 1670148.

Almost surely, 2^10563652260 is an apocalyptic number.

10563652260 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 10563652260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19379068800).

10563652260 is an abundant number, since it is smaller than the sum of its proper divisors (28194485340).

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

10563652260 is an equidigital number, since it uses as much as digits as its factorization.

10563652260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10563652260 in words is "ten billion, five hundred sixty-three million, six hundred fifty-two thousand, two hundred sixty".