10213660800 has 576 divisors, whose sum is σ = 43111972800. Its totient is φ = 2252759040.

The previous prime is 10213660781. The next prime is 10213660813. The reversal of 10213660800 is 806631201.

10213660800 is a `hidden beast` number, since 1 + 0 + 21 + 36 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 5845527 + ... + 5847273.

It is an arithmetic number, because the mean of its divisors is an integer number (74847175).

Almost surely, 2^10213660800 is an apocalyptic number.

10213660800 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 10213660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555986400).

10213660800 is an abundant number, since it is smaller than the sum of its proper divisors (32898312000).

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

10213660800 is a wasteful number, since it uses less digits than its factorization.

10213660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10213660800 in words is "ten billion, two hundred thirteen million, six hundred sixty thousand, eight hundred".