223077082900320 has 576 divisors, whose sum is σ = 831885144330240. Its totient is φ = 53986258944000.

The previous prime is 223077082900319. The next prime is 223077082900333. The reversal of 223077082900320 is 23009280770322.

223077082900320 is a `hidden beast` number, since 2 + 2 + 30 + 7 + 7 + 0 + 8 + 290 + 0 + 320 = 666.

It is a super-3 number, since 3×223077082900320³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24983429616 + ... + 24983438544.

It is an arithmetic number, because the mean of its divisors is an integer number (1444245042240).

Almost surely, 2^{223077082900320} is an apocalyptic number.

223077082900320 is a gapful number since it is divisible by the number (20) 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 223077082900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415942572165120).

223077082900320 is an abundant number, since it is smaller than the sum of its proper divisors (608808061429920).

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

223077082900320 is a wasteful number, since it uses less digits than its factorization.

223077082900320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 223077082900320 in words is "two hundred twenty-three trillion, seventy-seven billion, eighty-two million, nine hundred thousand, three hundred twenty".