161220593064960 has 4224 divisors, whose sum is σ = 736347914265600. Its totient is φ = 33228985466880.

The previous prime is 161220593064959. The next prime is 161220593065003. The reversal of 161220593064960 is 69460395022161.

161220593064960 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 2 + 0 + 593 + 0 + 6 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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 = 161220593064897 and 161220593064906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 125074159996 + ... + 125074161284.

Almost surely, 2^{161220593064960} is an apocalyptic number.

161220593064960 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 161220593064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368173957132800).

161220593064960 is an abundant number, since it is smaller than the sum of its proper divisors (575127321200640).

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

161220593064960 is a wasteful number, since it uses less digits than its factorization.

161220593064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 161220593064960 in words is "one hundred sixty-one trillion, two hundred twenty billion, five hundred ninety-three million, sixty-four thousand, nine hundred sixty".