10563680700 has 216 divisors, whose sum is σ = 33620723136. Its totient is φ = 2774016000.

The previous prime is 10563680693. The next prime is 10563680719. The reversal of 10563680700 is 708636501.

10563680700 is a `hidden beast` number, since 10 + 5 + 636 + 8 + 0 + 7 + 0 + 0 = 666.

It is a super-2 number, since 2×10563680700² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24509485 + ... + 24509915.

It is an arithmetic number, because the mean of its divisors is an integer number (155651496).

Almost surely, 2^10563680700 is an apocalyptic number.

10563680700 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 10563680700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810361568).

10563680700 is an abundant number, since it is smaller than the sum of its proper divisors (23057042436).

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

10563680700 is a wasteful number, since it uses less digits than its factorization.

10563680700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10563680700 in words is "ten billion, five hundred sixty-three million, six hundred eighty thousand, seven hundred".