161879389056 has 960 divisors, whose sum is σ = 623565233280. Its totient is φ = 40497408000.

The previous prime is 161879389043. The next prime is 161879389099. The reversal of 161879389056 is 650983978161.

161879389056 is a `hidden beast` number, since 1 + 618 + 7 + 9 + 3 + 8 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×161879389056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 161879388984 and 161879389002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 767200791 + ... + 767201001.

It is an arithmetic number, because the mean of its divisors is an integer number (649547118).

Almost surely, 2^161879389056 is an apocalyptic number.

161879389056 is a gapful number since it is divisible by the number (16) 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 161879389056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311782616640).

161879389056 is an abundant number, since it is smaller than the sum of its proper divisors (461685844224).

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

161879389056 is a wasteful number, since it uses less digits than its factorization.

161879389056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 161879389056 in words is "one hundred sixty-one billion, eight hundred seventy-nine million, three hundred eighty-nine thousand, fifty-six".