161941683758400 has 5880 divisors, whose sum is σ = 805556479592480. Its totient is φ = 31616822845440.

The previous prime is 161941683758353. The next prime is 161941683758411. The reversal of 161941683758400 is 4857386149161.

161941683758400 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 4 + 16 + 8 + 37 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 839 ways as a sum of consecutive naturals, for example, 3766085668779 + ... + 3766085668821.

Almost surely, 2^{161941683758400} is an apocalyptic number.

161941683758400 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 161941683758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402778239796240).

161941683758400 is an abundant number, since it is smaller than the sum of its proper divisors (643614795834080).

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

161941683758400 is an frugal number, since it uses more digits than its factorization.

161941683758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 161941683758400 in words is "one hundred sixty-one trillion, nine hundred forty-one billion, six hundred eighty-three million, seven hundred fifty-eight thousand, four hundred".