165354900480 has 1056 divisors, whose sum is σ = 739419632640. Its totient is φ = 33154007040.

The previous prime is 165354900419. The next prime is 165354900497. The reversal of 165354900480 is 84009453561.

165354900480 is a `hidden beast` number, since 1 + 65 + 3 + 549 + 0 + 0 + 48 + 0 = 666.

165354900480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×165354900480² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102895837 + ... + 102897443.

Almost surely, 2^165354900480 is an apocalyptic number.

165354900480 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 165354900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369709816320).

165354900480 is an abundant number, since it is smaller than the sum of its proper divisors (574064732160).

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

165354900480 is a wasteful number, since it uses less digits than its factorization.

165354900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 165354900480 in words is "one hundred sixty-five billion, three hundred fifty-four million, nine hundred thousand, four hundred eighty".