161385016320 has 1056 divisors, whose sum is σ = 647452016640. Its totient is φ = 36787322880.

The previous prime is 161385016307. The next prime is 161385016361. The reversal of 161385016320 is 23610583161.

161385016320 is a `hidden beast` number, since 1 + 6 + 13 + 8 + 5 + 0 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1270748097 + ... + 1270748223.

It is an arithmetic number, because the mean of its divisors is an integer number (613117440).

Almost surely, 2^161385016320 is an apocalyptic number.

161385016320 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 161385016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323726008320).

161385016320 is an abundant number, since it is smaller than the sum of its proper divisors (486067000320).

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

161385016320 is a wasteful number, since it uses less digits than its factorization.

161385016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 161385016320 its reverse (23610583161), we get a palindrome (184995599481).

The spelling of 161385016320 in words is "one hundred sixty-one billion, three hundred eighty-five million, sixteen thousand, three hundred twenty".