161605608000 has 224 divisors, whose sum is σ = 541591609728. Its totient is φ = 42451200000.

The previous prime is 161605607983. The next prime is 161605608007. The reversal of 161605608000 is 806506161.

It is a super-2 number, since 2×161605608000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161605608007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557750 + ... + 1658250.

Almost surely, 2^161605608000 is an apocalyptic number.

161605608000 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 161605608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270795804864).

161605608000 is an abundant number, since it is smaller than the sum of its proper divisors (379986001728).

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

161605608000 is a wasteful number, since it uses less digits than its factorization.

161605608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100598 (or 100578 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 161605608000 in words is "one hundred sixty-one billion, six hundred five million, six hundred eight thousand".