165187060446720 has 640 divisors, whose sum is σ = 588231350784000. Its totient is φ = 39270546800640.

The previous prime is 165187060446703. The next prime is 165187060446773. The reversal of 165187060446720 is 27644060781561.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1544371482 + ... + 1544478438.

It is an arithmetic number, because the mean of its divisors is an integer number (919111485600).

Almost surely, 2^{165187060446720} is an apocalyptic number.

165187060446720 is a gapful number since it is divisible by the number (10) 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 165187060446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294115675392000).

165187060446720 is an abundant number, since it is smaller than the sum of its proper divisors (423044290337280).

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

165187060446720 is a wasteful number, since it uses less digits than its factorization.

165187060446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107526 (or 107510 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 165187060446720 in words is "one hundred sixty-five trillion, one hundred eighty-seven billion, sixty million, four hundred forty-six thousand, seven hundred twenty".