2063812867200 has 960 divisors, whose sum is σ = 8916524305920. Its totient is φ = 460206489600.

The previous prime is 2063812867199. The next prime is 2063812867219. The reversal of 2063812867200 is 27682183602.

2063812867200 is a `hidden beast` number, since 2 + 0 + 6 + 381 + 2 + 8 + 67 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 119 ways as a sum of consecutive naturals, for example, 74376529 + ... + 74404271.

It is an arithmetic number, because the mean of its divisors is an integer number (9288046152).

Almost surely, 2^{2063812867200} is an apocalyptic number.

2063812867200 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 2063812867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458262152960).

2063812867200 is an abundant number, since it is smaller than the sum of its proper divisors (6852711438720).

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

2063812867200 is a wasteful number, since it uses less digits than its factorization.

2063812867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27827 (or 27801 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2063812867200 in words is "two trillion, sixty-three billion, eight hundred twelve million, eight hundred sixty-seven thousand, two hundred".