201687921199170 has 192 divisors, whose sum is σ = 604292650131456. Its totient is φ = 45716470087680.

The previous prime is 201687921199153. The next prime is 201687921199187. The reversal of 201687921199170 is 71991129786102.

201687921199170 is a `hidden beast` number, since 2 + 0 + 168 + 7 + 9 + 211 + 99 + 170 = 666.

It is an interprime number because it is at equal distance from previous prime (201687921199153) and next prime (201687921199187).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 201687921199098 and 201687921199107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177134722 + ... + 178269698.

It is an arithmetic number, because the mean of its divisors is an integer number (3147357552768).

Almost surely, 2^{201687921199170} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201687921199170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302146325065728).

201687921199170 is an abundant number, since it is smaller than the sum of its proper divisors (402604728932286).

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

201687921199170 is a wasteful number, since it uses less digits than its factorization.

201687921199170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137345 (or 1137342 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 63.

The spelling of 201687921199170 in words is "two hundred one trillion, six hundred eighty-seven billion, nine hundred twenty-one million, one hundred ninety-nine thousand, one hundred seventy".