127747799609472 has 1536 divisors, whose sum is σ = 474288398438400. Its totient is φ = 33399544872960.

The previous prime is 127747799609407. The next prime is 127747799609501. The reversal of 127747799609472 is 274906997747721.

It is a happy number.

127747799609472 is a `hidden beast` number, since 1 + 2 + 7 + 74 + 7 + 79 + 9 + 6 + 0 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 127747799609391 and 127747799609400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19184228479 + ... + 19184235137.

It is an arithmetic number, because the mean of its divisors is an integer number (308781509400).

Almost surely, 2^{127747799609472} is an apocalyptic number.

127747799609472 is a gapful number since it is divisible by the number (12) 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 127747799609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237144199219200).

127747799609472 is an abundant number, since it is smaller than the sum of its proper divisors (346540598828928).

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

127747799609472 is an equidigital number, since it uses as much as digits as its factorization.

127747799609472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 4704884352, while the sum is 81.

The spelling of 127747799609472 in words is "one hundred twenty-seven trillion, seven hundred forty-seven billion, seven hundred ninety-nine million, six hundred nine thousand, four hundred seventy-two".