27963460224000 has 2464 divisors, whose sum is σ = 123483977889792. Its totient is φ = 6180986880000.

The previous prime is 27963460223957. The next prime is 27963460224013. The reversal of 27963460224000 is 42206436972.

27963460224000 is a `hidden beast` number, since 2 + 7 + 9 + 6 + 34 + 602 + 2 + 4 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 20248703310 + ... + 20248704690.

Almost surely, 2^{27963460224000} is an apocalyptic number.

27963460224000 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 27963460224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61741988944896).

27963460224000 is an abundant number, since it is smaller than the sum of its proper divisors (95520517665792).

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

27963460224000 is an equidigital number, since it uses as much as digits as its factorization.

27963460224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 27963460224000 in words is "twenty-seven trillion, nine hundred sixty-three billion, four hundred sixty million, two hundred twenty-four thousand".