161095334400 has 2160 divisors, whose sum is σ = 786068355072. Its totient is φ = 30656102400.

The previous prime is 161095334347. The next prime is 161095334417. The reversal of 161095334400 is 4433590161.

161095334400 is a `hidden beast` number, since 1 + 610 + 9 + 5 + 3 + 34 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1268467137 + ... + 1268467263.

Almost surely, 2^161095334400 is an apocalyptic number.

161095334400 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 161095334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393034177536).

161095334400 is an abundant number, since it is smaller than the sum of its proper divisors (624973020672).

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

161095334400 is a wasteful number, since it uses less digits than its factorization.

161095334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 161095334400 in words is "one hundred sixty-one billion, ninety-five million, three hundred thirty-four thousand, four hundred".