161163657600 has 384 divisors, whose sum is σ = 580597839360. Its totient is φ = 38968320000.

The previous prime is 161163657593. The next prime is 161163657623. The reversal of 161163657600 is 6756361161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45511830 + ... + 45515370.

It is an arithmetic number, because the mean of its divisors is an integer number (1511973540).

Almost surely, 2^161163657600 is an apocalyptic number.

161163657600 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 161163657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290298919680).

161163657600 is an abundant number, since it is smaller than the sum of its proper divisors (419434181760).

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

161163657600 is a wasteful number, since it uses less digits than its factorization.

161163657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 161163657600 in words is "one hundred sixty-one billion, one hundred sixty-three million, six hundred fifty-seven thousand, six hundred".