165828612096 has 312 divisors, whose sum is σ = 567729873984. Its totient is φ = 47377612800.

The previous prime is 165828612073. The next prime is 165828612101. The reversal of 165828612096 is 690216828561.

165828612096 is a `hidden beast` number, since 16 + 5 + 8 + 2 + 8 + 612 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6955396 + ... + 6979196.

It is an arithmetic number, because the mean of its divisors is an integer number (1819647032).

Almost surely, 2^165828612096 is an apocalyptic number.

165828612096 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 165828612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283864936992).

165828612096 is an abundant number, since it is smaller than the sum of its proper divisors (401901261888).

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

165828612096 is an frugal number, since it uses more digits than its factorization.

165828612096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23847 (or 23813 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

It can be divided in two parts, 165828 and 612096, that added together give a square (777924 = 882²).

The spelling of 165828612096 in words is "one hundred sixty-five billion, eight hundred twenty-eight million, six hundred twelve thousand, ninety-six".