161123519662560 has 3072 divisors, whose sum is σ = 739232892518400. Its totient is φ = 31867018444800.

The previous prime is 161123519662541. The next prime is 161123519662601. The reversal of 161123519662560 is 65266915321161.

161123519662560 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 2 + 3 + 5 + 1 + 9 + 6 + 625 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 161123519662497 and 161123519662506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 54232081875 + ... + 54232084845.

It is an arithmetic number, because the mean of its divisors is an integer number (240635707200).

Almost surely, 2^{161123519662560} is an apocalyptic number.

161123519662560 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 161123519662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369616446259200).

161123519662560 is an abundant number, since it is smaller than the sum of its proper divisors (578109372855840).

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

161123519662560 is a wasteful number, since it uses less digits than its factorization.

161123519662560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 161123519662560 in words is "one hundred sixty-one trillion, one hundred twenty-three billion, five hundred nineteen million, six hundred sixty-two thousand, five hundred sixty".