161769256704000 has 768 divisors, whose sum is σ = 652408365772800. Its totient is φ = 39216771072000.

The previous prime is 161769256703981. The next prime is 161769256704049. The reversal of 161769256704000 is 407652967161.

161769256704000 is a `hidden beast` number, since 1 + 6 + 1 + 76 + 9 + 2 + 567 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74968177 + ... + 77095823.

It is an arithmetic number, because the mean of its divisors is an integer number (849490059600).

Almost surely, 2^{161769256704000} is an apocalyptic number.

161769256704000 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 161769256704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326204182886400).

161769256704000 is an abundant number, since it is smaller than the sum of its proper divisors (490639109068800).

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

161769256704000 is a wasteful number, since it uses less digits than its factorization.

161769256704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127704 (or 2127668 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 161769256704000 in words is "one hundred sixty-one trillion, seven hundred sixty-nine billion, two hundred fifty-six million, seven hundred four thousand".