160223078400 has 2304 divisors, whose sum is σ = 748752076800. Its totient is φ = 29196288000.

The previous prime is 160223078387. The next prime is 160223078441. The reversal of 160223078400 is 4870322061.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5168486385 + ... + 5168486415.

It is an arithmetic number, because the mean of its divisors is an integer number (324979200).

Almost surely, 2^160223078400 is an apocalyptic number.

160223078400 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 160223078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374376038400).

160223078400 is an abundant number, since it is smaller than the sum of its proper divisors (588528998400).

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

160223078400 is a wasteful number, since it uses less digits than its factorization.

160223078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 160223078400 in words is "one hundred sixty billion, two hundred twenty-three million, seventy-eight thousand, four hundred".