10217860800 has 336 divisors, whose sum is σ = 39352362240. Its totient is φ = 2272112640.

The previous prime is 10217860781. The next prime is 10217860813. The reversal of 10217860800 is 806871201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1239091 + ... + 1247309.

Almost surely, 2^10217860800 is an apocalyptic number.

10217860800 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 10217860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676181120).

10217860800 is an abundant number, since it is smaller than the sum of its proper divisors (29134501440).

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

10217860800 is a wasteful number, since it uses less digits than its factorization.

10217860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 10217860800 in words is "ten billion, two hundred seventeen million, eight hundred sixty thousand, eight hundred".