10065065455200 has 288 divisors, whose sum is σ = 37462172267520. Its totient is φ = 2299349606400.

The previous prime is 10065065455163. The next prime is 10065065455217. The reversal of 10065065455200 is 255456056001.

It is a happy number.

It is a super-3 number, since 3×10065065455200³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31272696 + ... + 31592904.

It is an arithmetic number, because the mean of its divisors is an integer number (130076987040).

Almost surely, 2^{10065065455200} is an apocalyptic number.

10065065455200 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 10065065455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18731086133760).

10065065455200 is an abundant number, since it is smaller than the sum of its proper divisors (27397106812320).

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

10065065455200 is a wasteful number, since it uses less digits than its factorization.

10065065455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322110 (or 322097 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 10065065455200 in words is "ten trillion, sixty-five billion, sixty-five million, four hundred fifty-five thousand, two hundred".