16127227920384 has 1071 divisors, whose sum is σ = 56940502528983. Its totient is φ = 4552263991296.

The previous prime is 16127227920361. The next prime is 16127227920403. The reversal of 16127227920384 is 48302972272161.

The square root of 16127227920384 is 4015872.

It is a perfect power (a square), and thus also a powerful number.

16127227920384 is a `hidden beast` number, since 1 + 6 + 1 + 272 + 279 + 20 + 3 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16127227920384.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 194303950807 + ... + 194303950889.

Almost surely, 2^{16127227920384} is an apocalyptic number.

16127227920384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16127227920384 is the 4015872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16127227920384

16127227920384 is an abundant number, since it is smaller than the sum of its proper divisors (40813274608599).

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

16127227920384 is an frugal number, since it uses more digits than its factorization.

16127227920384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

16127227920384 divided by its product of nonzero digits (4064256) gives a square (3968064 = 1992²).

The spelling of 16127227920384 in words is "sixteen trillion, one hundred twenty-seven billion, two hundred twenty-seven million, nine hundred twenty thousand, three hundred eighty-four".