200166756051960 has 640 divisors, whose sum is σ = 730804169557440. Its totient is φ = 48952453939200.

The previous prime is 200166756051907. The next prime is 200166756051967. The reversal of 200166756051960 is 69150657661002.

200166756051960 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 6 + 6 + 7 + 5 + 60 + 519 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 200166756051897 and 200166756051906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200166756051967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 359228770 + ... + 359785550.

Almost surely, 2^{200166756051960} is an apocalyptic number.

200166756051960 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 200166756051960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365402084778720).

200166756051960 is an abundant number, since it is smaller than the sum of its proper divisors (530637413505480).

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

200166756051960 is a wasteful number, since it uses less digits than its factorization.

200166756051960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556989 (or 556976 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 200166756051960 in words is "two hundred trillion, one hundred sixty-six billion, seven hundred fifty-six million, fifty-one thousand, nine hundred sixty".