161270541734400 has 1440 divisors, whose sum is σ = 697091733898560. Its totient is φ = 36861524582400.

The previous prime is 161270541734347. The next prime is 161270541734413. The reversal of 161270541734400 is 4437145072161.

161270541734400 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 70 + 5 + 4 + 173 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1371627615 + ... + 1371745185.

It is an arithmetic number, because the mean of its divisors is an integer number (484091481874).

Almost surely, 2^{161270541734400} is an apocalyptic number.

161270541734400 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 161270541734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348545866949280).

161270541734400 is an abundant number, since it is smaller than the sum of its proper divisors (535821192164160).

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

161270541734400 is an frugal number, since it uses more digits than its factorization.

161270541734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117634 (or 117588 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 161270541734400 in words is "one hundred sixty-one trillion, two hundred seventy billion, five hundred forty-one million, seven hundred thirty-four thousand, four hundred".