201610166520 has 256 divisors, whose sum is σ = 732312576000. Its totient is φ = 43346903040.

The previous prime is 201610166509. The next prime is 201610166539. The reversal of 201610166520 is 25661016102.

201610166520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36996756 + ... + 37002204.

It is an arithmetic number, because the mean of its divisors is an integer number (2860596000).

Almost surely, 2^201610166520 is an apocalyptic number.

201610166520 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 201610166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366156288000).

201610166520 is an abundant number, since it is smaller than the sum of its proper divisors (530702409480).

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

201610166520 is a wasteful number, since it uses less digits than its factorization.

201610166520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 201610166520 in words is "two hundred one billion, six hundred ten million, one hundred sixty-six thousand, five hundred twenty".