161029140115200 has 864 divisors, whose sum is σ = 640317815370240. Its totient is φ = 34814715494400.

The previous prime is 161029140115177. The next prime is 161029140115241. The reversal of 161029140115200 is 2511041920161.

It is a congruent number.

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, 1636808412 + ... + 1636906788.

Almost surely, 2^{161029140115200} is an apocalyptic number.

161029140115200 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 161029140115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320158907685120).

161029140115200 is an abundant number, since it is smaller than the sum of its proper divisors (479288675255040).

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

161029140115200 is a wasteful number, since it uses less digits than its factorization.

161029140115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99073 (or 99054 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 161029140115200 in words is "one hundred sixty-one trillion, twenty-nine billion, one hundred forty million, one hundred fifteen thousand, two hundred".