161205782169600 has 5760 divisors, whose sum is σ = 766977170319360. Its totient is φ = 32614907904000.

The previous prime is 161205782169587. The next prime is 161205782169623. The reversal of 161205782169600 is 6961287502161.

It is a happy number.

161205782169600 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 0 + 5 + 7 + 8 + 21 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 627259852672 + ... + 627259852928.

It is an arithmetic number, because the mean of its divisors is an integer number (133155758736).

Almost surely, 2^{161205782169600} is an apocalyptic number.

161205782169600 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 161205782169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383488585159680).

161205782169600 is an abundant number, since it is smaller than the sum of its proper divisors (605771388149760).

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

161205782169600 is a wasteful number, since it uses less digits than its factorization.

161205782169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 161205782169600 in words is "one hundred sixty-one trillion, two hundred five billion, seven hundred eighty-two million, one hundred sixty-nine thousand, six hundred".