127204890608496 has 640 divisors, whose sum is σ = 361296944087040. Its totient is φ = 38464118784000.

The previous prime is 127204890608491. The next prime is 127204890608531. The reversal of 127204890608496 is 694806098402721.

It is a super-2 number, since 2×127204890608496² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127204890608491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116381418126 + ... + 116381419218.

It is an arithmetic number, because the mean of its divisors is an integer number (564526475136).

Almost surely, 2^{127204890608496} is an apocalyptic number.

127204890608496 is a gapful number since it is divisible by the number (16) 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 127204890608496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180648472043520).

127204890608496 is an abundant number, since it is smaller than the sum of its proper divisors (234092053478544).

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

127204890608496 is a wasteful number, since it uses less digits than its factorization.

127204890608496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 127204890608496 in words is "one hundred twenty-seven trillion, two hundred four billion, eight hundred ninety million, six hundred eight thousand, four hundred ninety-six".