165827865600 has 1584 divisors, whose sum is σ = 687406836480. Its totient is φ = 39414988800.

The previous prime is 165827865587. The next prime is 165827865617. The reversal of 165827865600 is 6568728561.

165827865600 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 2 + 78 + 6 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2718489570 + ... + 2718489630.

Almost surely, 2^165827865600 is an apocalyptic number.

165827865600 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 165827865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343703418240).

165827865600 is an abundant number, since it is smaller than the sum of its proper divisors (521578970880).

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

165827865600 is a wasteful number, since it uses less digits than its factorization.

165827865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 165827865600 in words is "one hundred sixty-five billion, eight hundred twenty-seven million, eight hundred sixty-five thousand, six hundred".