161525580226560 has 2016 divisors, whose sum is σ = 641748138786144. Its totient is φ = 38698352640000.

The previous prime is 161525580226489. The next prime is 161525580226613. The reversal of 161525580226560 is 65622085525161.

161525580226560 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 2 + 5 + 58 + 0 + 2 + 26 + 560 = 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 = 161525580226497 and 161525580226506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 298568539890 + ... + 298568540430.

Almost surely, 2^{161525580226560} is an apocalyptic number.

161525580226560 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 161525580226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320874069393072).

161525580226560 is an abundant number, since it is smaller than the sum of its proper divisors (480222558559584).

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

161525580226560 is an frugal number, since it uses more digits than its factorization.

161525580226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 161525580226560 in words is "one hundred sixty-one trillion, five hundred twenty-five billion, five hundred eighty million, two hundred twenty-six thousand, five hundred sixty".