161398915200 has 480 divisors, whose sum is σ = 600409666560. Its totient is φ = 42692106240.

The previous prime is 161398915159. The next prime is 161398915201. The reversal of 161398915200 is 2519893161.

161398915200 is a `hidden beast` number, since 1 + 6 + 1 + 39 + 8 + 91 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (161398915201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32915949 + ... + 32920851.

It is an arithmetic number, because the mean of its divisors is an integer number (1250853472).

Almost surely, 2^161398915200 is an apocalyptic number.

161398915200 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 161398915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300204833280).

161398915200 is an abundant number, since it is smaller than the sum of its proper divisors (439010751360).

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

161398915200 is a wasteful number, since it uses less digits than its factorization.

161398915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 161398915200 in words is "one hundred sixty-one billion, three hundred ninety-eight million, nine hundred fifteen thousand, two hundred".