161782238800 has 240 divisors, whose sum is σ = 484150262400. Its totient is φ = 50583582720.

The previous prime is 161782238791. The next prime is 161782238819. The reversal of 161782238800 is 8832287161.

It is a super-2 number, since 2×161782238800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2994426 + ... + 3047974.

It is an arithmetic number, because the mean of its divisors is an integer number (2017292760).

Almost surely, 2^161782238800 is an apocalyptic number.

161782238800 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 161782238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242075131200).

161782238800 is an abundant number, since it is smaller than the sum of its proper divisors (322368023600).

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

161782238800 is a wasteful number, since it uses less digits than its factorization.

161782238800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53670 (or 53659 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 161782238800 in words is "one hundred sixty-one billion, seven hundred eighty-two million, two hundred thirty-eight thousand, eight hundred".