161379316560 has 1440 divisors, whose sum is σ = 693075640320. Its totient is φ = 30847703040.

The previous prime is 161379316499. The next prime is 161379316577. The reversal of 161379316560 is 65613973161.

161379316560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 287 ways as a sum of consecutive naturals, for example, 1270703217 + ... + 1270703343.

It is an arithmetic number, because the mean of its divisors is an integer number (481302528).

Almost surely, 2^161379316560 is an apocalyptic number.

161379316560 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 161379316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346537820160).

161379316560 is an abundant number, since it is smaller than the sum of its proper divisors (531696323760).

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

161379316560 is a wasteful number, since it uses less digits than its factorization.

161379316560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 161379316560 in words is "one hundred sixty-one billion, three hundred seventy-nine million, three hundred sixteen thousand, five hundred sixty".