165628520064 has 448 divisors, whose sum is σ = 578639096640. Its totient is φ = 46214074368.

The previous prime is 165628520059. The next prime is 165628520131. The reversal of 165628520064 is 460025826561.

165628520064 is a `hidden beast` number, since 1 + 6 + 5 + 62 + 8 + 520 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28083964 + ... + 28089860.

Almost surely, 2^165628520064 is an apocalyptic number.

165628520064 is a gapful number since it is divisible by the number (14) 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 165628520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289319548320).

165628520064 is an abundant number, since it is smaller than the sum of its proper divisors (413010576576).

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

165628520064 is an frugal number, since it uses more digits than its factorization.

165628520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 165628520064 in words is "one hundred sixty-five billion, six hundred twenty-eight million, five hundred twenty thousand, sixty-four".