127035216399 has 192 divisors, whose sum is σ = 230717030400. Its totient is φ = 60647947776.

The previous prime is 127035216367. The next prime is 127035216401. The reversal of 127035216399 is 993612530721.

It is a Cunningham number, because it is equal to 356420²-1.

It is not a de Polignac number, because 127035216399 - 2⁵ = 127035216367 is a prime.

It is a super-2 number, since 2×127035216399² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127035216199) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147201442 + ... + 147202304.

It is an arithmetic number, because the mean of its divisors is an integer number (1201651200).

Almost surely, 2^127035216399 is an apocalyptic number.

127035216399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

127035216399 is a deficient number, since it is larger than the sum of its proper divisors (103681814001).

127035216399 is a wasteful number, since it uses less digits than its factorization.

127035216399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 127035216399 in words is "one hundred twenty-seven billion, thirty-five million, two hundred sixteen thousand, three hundred ninety-nine".