161050982400 has 2304 divisors, whose sum is σ = 789699456000. Its totient is φ = 31142707200.

The previous prime is 161050982387. The next prime is 161050982419. The reversal of 161050982400 is 4289050161.

161050982400 is a `hidden beast` number, since 161 + 0 + 5 + 0 + 98 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1809561556 + ... + 1809561644.

It is an arithmetic number, because the mean of its divisors is an integer number (342751500).

Almost surely, 2^161050982400 is an apocalyptic number.

161050982400 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 161050982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394849728000).

161050982400 is an abundant number, since it is smaller than the sum of its proper divisors (628648473600).

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

161050982400 is a wasteful number, since it uses less digits than its factorization.

161050982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 161050982400 in words is "one hundred sixty-one billion, fifty million, nine hundred eighty-two thousand, four hundred".