161011641600 has 324 divisors, whose sum is σ = 583775573472. Its totient is φ = 42330624000.

The previous prime is 161011641589. The next prime is 161011641601. The reversal of 161011641600 is 6146110161.

It is a happy number.

161011641600 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 1 + 16 + 41 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161011641601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4069915 + ... + 4109285.

Almost surely, 2^161011641600 is an apocalyptic number.

161011641600 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 161011641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291887786736).

161011641600 is an abundant number, since it is smaller than the sum of its proper divisors (422763931872).

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

161011641600 is a wasteful number, since it uses less digits than its factorization.

161011641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39474 (or 39452 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 161011641600 its reverse (6146110161), we get a palindrome (167157751761).

The spelling of 161011641600 in words is "one hundred sixty-one billion, eleven million, six hundred forty-one thousand, six hundred".