200818000656000 has 7680 divisors, whose sum is σ = 1016349037704000. Its totient is φ = 38793904128000.

The previous prime is 200818000655947. The next prime is 200818000656073. The reversal of 200818000656000 is 656000818002.

It is a happy number.

200818000656000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 106032822106176 + 94785178549824 = 10297224^2 + 9735768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 575409743826 + ... + 575409744174.

Almost surely, 2^{200818000656000} is an apocalyptic number.

200818000656000 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 200818000656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508174518852000).

200818000656000 is an abundant number, since it is smaller than the sum of its proper divisors (815531037048000).

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

200818000656000 is a wasteful number, since it uses less digits than its factorization.

200818000656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 200818000656000 in words is "two hundred trillion, eight hundred eighteen billion, six hundred fifty-six thousand".