200056916016 has 160 divisors (see below), whose sum is σ = 600761548800. Its totient is φ = 63674657280.

The previous prime is 200056915979. The next prime is 200056916051. The reversal of 200056916016 is 610619650002.

200056916016 is a `hidden beast` number, since 20 + 0 + 0 + 569 + 1 + 60 + 16 = 666.

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 31 ways as a sum of consecutive naturals, for example, 712305 + ... + 952623.

It is an arithmetic number, because the mean of its divisors is an integer number (3754759680).

Almost surely, 2^200056916016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200056916016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300380774400).

200056916016 is an abundant number, since it is smaller than the sum of its proper divisors (400704632784).

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

200056916016 is a wasteful number, since it uses less digits than its factorization.

200056916016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240424 (or 240412 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 200056916016 in words is "two hundred billion, fifty-six million, nine hundred sixteen thousand, sixteen".