161896243471200 has 2160 divisors, whose sum is σ = 692480862013248. Its totient is φ = 36700231680000.

The previous prime is 161896243471199. The next prime is 161896243471231. The reversal of 161896243471200 is 2174342698161.

161896243471200 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 9 + 624 + 3 + 4 + 7 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 359 ways as a sum of consecutive naturals, for example, 375629334985 + ... + 375629335415.

Almost surely, 2^{161896243471200} is an apocalyptic number.

161896243471200 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 161896243471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346240431006624).

161896243471200 is an abundant number, since it is smaller than the sum of its proper divisors (530584618542048).

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

161896243471200 is a wasteful number, since it uses less digits than its factorization.

161896243471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 161896243471200 in words is "one hundred sixty-one trillion, eight hundred ninety-six billion, two hundred forty-three million, four hundred seventy-one thousand, two hundred".