10063305907200 has 3168 divisors, whose sum is σ = 47327509893120. Its totient is φ = 2049579417600.

The previous prime is 10063305907139. The next prime is 10063305907247. The reversal of 10063305907200 is 270950336001.

10063305907200 is a `hidden beast` number, since 1 + 0 + 0 + 63 + 3 + 0 + 590 + 7 + 2 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 25348377402 + ... + 25348377798.

Almost surely, 2^{10063305907200} is an apocalyptic number.

10063305907200 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 10063305907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23663754946560).

10063305907200 is an abundant number, since it is smaller than the sum of its proper divisors (37264203985920).

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

10063305907200 is a wasteful number, since it uses less digits than its factorization.

10063305907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 10063305907200 in words is "ten trillion, sixty-three billion, three hundred five million, nine hundred seven thousand, two hundred".