161161506470400 has 240 divisors, whose sum is σ = 532479068857824. Its totient is φ = 42968966676480.

The previous prime is 161161506470381. The next prime is 161161506470413. The reversal of 161161506470400 is 4074605161161.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223396674 + ... + 224116926.

Almost surely, 2^{161161506470400} is an apocalyptic number.

161161506470400 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 161161506470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266239534428912).

161161506470400 is an abundant number, since it is smaller than the sum of its proper divisors (371317562387424).

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

161161506470400 is an equidigital number, since it uses as much as digits as its factorization.

161161506470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726111 (or 726090 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 161161506470400 in words is "one hundred sixty-one trillion, one hundred sixty-one billion, five hundred six million, four hundred seventy thousand, four hundred".