165755754120 has 256 divisors, whose sum is σ = 546345492480. Its totient is φ = 39897497600.

The previous prime is 165755754119. The next prime is 165755754191. The reversal of 165755754120 is 21457557561.

It is a self number, because there is not a number n which added to its sum of digits gives 165755754120.

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, 192068809 + ... + 192069671.

It is an arithmetic number, because the mean of its divisors is an integer number (2134162080).

Almost surely, 2^165755754120 is an apocalyptic number.

165755754120 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 165755754120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273172746240).

165755754120 is an abundant number, since it is smaller than the sum of its proper divisors (380589738360).

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

165755754120 is a wasteful number, since it uses less digits than its factorization.

165755754120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 48.

It can be divided in two parts, 1657557541 and 20, that added together give a palindrome (1657557561).

The spelling of 165755754120 in words is "one hundred sixty-five billion, seven hundred fifty-five million, seven hundred fifty-four thousand, one hundred twenty".