165527285040 has 960 divisors, whose sum is σ = 683236270080. Its totient is φ = 35473489920.

The previous prime is 165527285039. The next prime is 165527285051. The reversal of 165527285040 is 40582725561.

165527285040 is a `hidden beast` number, since 1 + 6 + 5 + 527 + 2 + 85 + 0 + 40 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113451831 + ... + 113453289.

It is an arithmetic number, because the mean of its divisors is an integer number (711704448).

Almost surely, 2^165527285040 is an apocalyptic number.

165527285040 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 165527285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341618135040).

165527285040 is an abundant number, since it is smaller than the sum of its proper divisors (517708985040).

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

165527285040 is a wasteful number, since it uses less digits than its factorization.

165527285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 165527285040 in words is "one hundred sixty-five billion, five hundred twenty-seven million, two hundred eighty-five thousand, forty".