10065555763200 has 2496 divisors, whose sum is σ = 45970670387200. Its totient is φ = 2106910310400.

The previous prime is 10065555763199. The next prime is 10065555763217. The reversal of 10065555763200 is 236755556001.

10065555763200 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 5 + 5 + 5 + 7 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11399269959 + ... + 11399270841.

Almost surely, 2^{10065555763200} is an apocalyptic number.

10065555763200 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 10065555763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22985335193600).

10065555763200 is an abundant number, since it is smaller than the sum of its proper divisors (35905114624000).

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

10065555763200 is a wasteful number, since it uses less digits than its factorization.

10065555763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 10065555763200 in words is "ten trillion, sixty-five billion, five hundred fifty-five million, seven hundred sixty-three thousand, two hundred".