161039633587200 has 1056 divisors, whose sum is σ = 622961734841600. Its totient is φ = 40654052720640.

The previous prime is 161039633587193. The next prime is 161039633587207. The reversal of 161039633587200 is 2785336930161.

161039633587200 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 3 + 9 + 6 + 33 + 587 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161039633587193) and next prime (161039633587207).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161039633587207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22233826779 + ... + 22233834021.

Almost surely, 2^{161039633587200} is an apocalyptic number.

161039633587200 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 161039633587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311480867420800).

161039633587200 is an abundant number, since it is smaller than the sum of its proper divisors (461922101254400).

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

161039633587200 is a wasteful number, since it uses less digits than its factorization.

161039633587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8994 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 161039633587200 in words is "one hundred sixty-one trillion, thirty-nine billion, six hundred thirty-three million, five hundred eighty-seven thousand, two hundred".