200979088966656 has 3696 divisors, whose sum is σ = 833196960400000. Its totient is φ = 48090227834880.

The previous prime is 200979088966651. The next prime is 200979088966709. The reversal of 200979088966656 is 656669880979002.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (200979088966651) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 402763705095 + ... + 402763705593.

Almost surely, 2^{200979088966656} is an apocalyptic number.

200979088966656 is a gapful number since it is divisible by the number (26) 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 200979088966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416598480200000).

200979088966656 is an abundant number, since it is smaller than the sum of its proper divisors (632217871433344).

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

200979088966656 is an equidigital number, since it uses as much as digits as its factorization.

200979088966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 200979088966656 in words is "two hundred trillion, nine hundred seventy-nine billion, eighty-eight million, nine hundred sixty-six thousand, six hundred fifty-six".