200644995957120 has 3072 divisors, whose sum is σ = 858450709509120. Its totient is φ = 44144787456000.

The previous prime is 200644995957101. The next prime is 200644995957143. The reversal of 200644995957120 is 21759599446002.

200644995957120 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 4 + 9 + 9 + 59 + 571 + 2 + 0 = 666.

It is a super-2 number, since 2×200644995957120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 606178235355 + ... + 606178235685.

It is an arithmetic number, because the mean of its divisors is an integer number (279443590335).

Almost surely, 2^{200644995957120} is an apocalyptic number.

200644995957120 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 200644995957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429225354754560).

200644995957120 is an abundant number, since it is smaller than the sum of its proper divisors (657805713552000).

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

200644995957120 is a wasteful number, since it uses less digits than its factorization.

200644995957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 200644995957120 in words is "two hundred trillion, six hundred forty-four billion, nine hundred ninety-five million, nine hundred fifty-seven thousand, one hundred twenty".