161628857145280 has 224 divisors, whose sum is σ = 440675333056512. Its totient is φ = 55313141760000.

The previous prime is 161628857145271. The next prime is 161628857145317. The reversal of 161628857145280 is 82541758826161.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×161628857145280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3382960752 + ... + 3383008528.

Almost surely, 2^{161628857145280} is an apocalyptic number.

161628857145280 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 161628857145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220337666528256).

161628857145280 is an abundant number, since it is smaller than the sum of its proper divisors (279046475911232).

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

161628857145280 is a wasteful number, since it uses less digits than its factorization.

161628857145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50563 (or 50553 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 64.

The spelling of 161628857145280 in words is "one hundred sixty-one trillion, six hundred twenty-eight billion, eight hundred fifty-seven million, one hundred forty-five thousand, two hundred eighty".