165004572096 has 448 divisors, whose sum is σ = 600139008000. Its totient is φ = 43290796032.

The previous prime is 165004572079. The next prime is 165004572121. The reversal of 165004572096 is 690275400561.

165004572096 is a `hidden beast` number, since 1 + 6 + 500 + 4 + 57 + 2 + 0 + 96 = 666.

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

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, 31289716 + ... + 31294988.

It is an arithmetic number, because the mean of its divisors is an integer number (1339596000).

Almost surely, 2^165004572096 is an apocalyptic number.

165004572096 is a gapful number since it is divisible by the number (16) 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 165004572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300069504000).

165004572096 is an abundant number, since it is smaller than the sum of its proper divisors (435134435904).

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

165004572096 is a wasteful number, since it uses less digits than its factorization.

165004572096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 165004572096 in words is "one hundred sixty-five billion, four million, five hundred seventy-two thousand, ninety-six".