161321367916800 has 5184 divisors, whose sum is σ = 788865254392320. Its totient is φ = 31468290048000.

The previous prime is 161321367916781. The next prime is 161321367916811. The reversal of 161321367916800 is 8619763123161.

161321367916800 is a `hidden beast` number, since 1 + 6 + 132 + 1 + 367 + 91 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 211986028420 + ... + 211986029180.

It is an arithmetic number, because the mean of its divisors is an integer number (152173081480).

Almost surely, 2^{161321367916800} is an apocalyptic number.

161321367916800 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 161321367916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394432627196160).

161321367916800 is an abundant number, since it is smaller than the sum of its proper divisors (627543886475520).

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

161321367916800 is a wasteful number, since it uses less digits than its factorization.

161321367916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 161321367916800 in words is "one hundred sixty-one trillion, three hundred twenty-one billion, three hundred sixty-seven million, nine hundred sixteen thousand, eight hundred".