165248355021120 has 672 divisors, whose sum is σ = 652185383935488. Its totient is φ = 37619866976256.

The previous prime is 165248355021097. The next prime is 165248355021131. The reversal of 165248355021120 is 21120553842561.

165248355021120 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 4 + 83 + 550 + 2 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×165248355021120² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20846262597 + ... + 20846270523.

Almost surely, 2^{165248355021120} is an apocalyptic number.

165248355021120 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 165248355021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326092691967744).

165248355021120 is an abundant number, since it is smaller than the sum of its proper divisors (486937028914368).

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

165248355021120 is a wasteful number, since it uses less digits than its factorization.

165248355021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11954 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 165248355021120 in words is "one hundred sixty-five trillion, two hundred forty-eight billion, three hundred fifty-five million, twenty-one thousand, one hundred twenty".