165628405800 has 2304 divisors, whose sum is σ = 758051481600. Its totient is φ = 32845824000.

The previous prime is 165628405777. The next prime is 165628405819. The reversal of 165628405800 is 8504826561.

165628405800 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 28 + 40 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4476443382 + ... + 4476443418.

It is an arithmetic number, because the mean of its divisors is an integer number (329015400).

Almost surely, 2^165628405800 is an apocalyptic number.

165628405800 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 165628405800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379025740800).

165628405800 is an abundant number, since it is smaller than the sum of its proper divisors (592423075800).

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

165628405800 is a wasteful number, since it uses less digits than its factorization.

165628405800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 165628405800 in words is "one hundred sixty-five billion, six hundred twenty-eight million, four hundred five thousand, eight hundred".