161792256384000 has 1760 divisors, whose sum is σ = 696478803134400. Its totient is φ = 36914724864000.

The previous prime is 161792256383987. The next prime is 161792256384007. The reversal of 161792256384000 is 483652297161.

It is a happy number.

161792256384000 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 9 + 2 + 256 + 384 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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 (161792256384007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1938774276 + ... + 1938857724.

It is an arithmetic number, because the mean of its divisors is an integer number (395726592690).

It is a 1-persistent number, because it is pandigital, but 2⋅161792256384000 = 323584512768000 is not.

Almost surely, 2^{161792256384000} is an apocalyptic number.

161792256384000 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 161792256384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348239401567200).

161792256384000 is an abundant number, since it is smaller than the sum of its proper divisors (534686546750400).

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

161792256384000 is a wasteful number, since it uses less digits than its factorization.

161792256384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83524 (or 83487 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 161792256384000 in words is "one hundred sixty-one trillion, seven hundred ninety-two billion, two hundred fifty-six million, three hundred eighty-four thousand".