10249667863200 has 432 divisors, whose sum is σ = 37834325448192. Its totient is φ = 2607816960000.

The previous prime is 10249667863181. The next prime is 10249667863217. The reversal of 10249667863200 is 236876694201.

10249667863200 is a `hidden beast` number, since 1 + 0 + 2 + 496 + 6 + 78 + 63 + 20 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15523810 + ... + 16170590.

It is an arithmetic number, because the mean of its divisors is an integer number (87579457056).

Almost surely, 2^{10249667863200} is an apocalyptic number.

10249667863200 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 10249667863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917162724096).

10249667863200 is an abundant number, since it is smaller than the sum of its proper divisors (27584657584992).

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

10249667863200 is a wasteful number, since it uses less digits than its factorization.

10249667863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646909 (or 646893 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10249667863200 in words is "ten trillion, two hundred forty-nine billion, six hundred sixty-seven million, eight hundred sixty-three thousand, two hundred".