127785216384 has 192 divisors, whose sum is σ = 435811434240. Its totient is φ = 36509999616.

The previous prime is 127785216373. The next prime is 127785216397. The reversal of 127785216384 is 483612587721.

127785216384 is a `hidden beast` number, since 1 + 277 + 85 + 216 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×127785216384³ (a number of 34 digits) contains 333 as substring.

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 127785216384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75724 + ... + 511179.

It is an arithmetic number, because the mean of its divisors is an integer number (2269851220).

Almost surely, 2^127785216384 is an apocalyptic number.

127785216384 is a gapful number since it is divisible by the number (14) 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 127785216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217905717120).

127785216384 is an abundant number, since it is smaller than the sum of its proper divisors (308026217856).

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

127785216384 is an frugal number, since it uses more digits than its factorization.

127785216384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586939 (or 586915 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 127785216384 in words is "one hundred twenty-seven billion, seven hundred eighty-five million, two hundred sixteen thousand, three hundred eighty-four".