200800065123840 has 1280 divisors, whose sum is σ = 825603989962752. Its totient is φ = 40466483380224.

The previous prime is 200800065123737. The next prime is 200800065123859. The reversal of 200800065123840 is 48321560008002.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×200800065123840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11685963889 + ... + 11685981071.

Almost surely, 2^{200800065123840} is an apocalyptic number.

200800065123840 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 200800065123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412801994981376).

200800065123840 is an abundant number, since it is smaller than the sum of its proper divisors (624803924838912).

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

200800065123840 is a wasteful number, since it uses less digits than its factorization.

200800065123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17979 (or 17963 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 200800065123840 in words is "two hundred trillion, eight hundred billion, sixty-five million, one hundred twenty-three thousand, eight hundred forty".