161913427200 has 1296 divisors, whose sum is σ = 697470359040. Its totient is φ = 36399144960.

The previous prime is 161913427147. The next prime is 161913427217. The reversal of 161913427200 is 2724319161.

161913427200 is a `hidden beast` number, since 1 + 6 + 19 + 13 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1164844731 + ... + 1164844869.

Almost surely, 2^161913427200 is an apocalyptic number.

161913427200 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 161913427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348735179520).

161913427200 is an abundant number, since it is smaller than the sum of its proper divisors (535556931840).

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

161913427200 is a wasteful number, since it uses less digits than its factorization.

161913427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 161913427200 in words is "one hundred sixty-one billion, nine hundred thirteen million, four hundred twenty-seven thousand, two hundred".