201065386800 has 240 divisors, whose sum is σ = 666951374880. Its totient is φ = 51717120000.

The previous prime is 201065386787. The next prime is 201065386813. The reversal of 201065386800 is 8683560102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201065386787) and next prime (201065386813).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×201065386800² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 45272580 + ... + 45277020.

It is an arithmetic number, because the mean of its divisors is an integer number (2778964062).

Almost surely, 2^201065386800 is an apocalyptic number.

201065386800 is a gapful number since it is divisible by the number (20) 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 201065386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333475687440).

201065386800 is an abundant number, since it is smaller than the sum of its proper divisors (465885988080).

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

201065386800 is a wasteful number, since it uses less digits than its factorization.

201065386800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 201065386800 in words is "two hundred one billion, sixty-five million, three hundred eighty-six thousand, eight hundred".