161739226509120 has 1792 divisors, whose sum is σ = 652379695349760. Its totient is φ = 37443642163200.

The previous prime is 161739226509011. The next prime is 161739226509137. The reversal of 161739226509120 is 21905622937161.

161739226509120 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 3 + 9 + 2 + 2 + 6 + 509 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19745964225 + ... + 19745972415.

It is an arithmetic number, because the mean of its divisors is an integer number (364051169280).

Almost surely, 2^{161739226509120} is an apocalyptic number.

161739226509120 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 161739226509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326189847674880).

161739226509120 is an abundant number, since it is smaller than the sum of its proper divisors (490640468840640).

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

161739226509120 is a wasteful number, since it uses less digits than its factorization.

161739226509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 161739226509120 in words is "one hundred sixty-one trillion, seven hundred thirty-nine billion, two hundred twenty-six million, five hundred nine thousand, one hundred twenty".