127072710326496 has 48 divisors (see below), whose sum is σ = 363890034119808. Its totient is φ = 38506881916800.

The previous prime is 127072710326483. The next prime is 127072710326509. The reversal of 127072710326496 is 694623017270721.

It is an interprime number because it is at equal distance from previous prime (127072710326483) and next prime (127072710326509).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×127072710326496² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60167001940 + ... + 60167004051.

It is an arithmetic number, because the mean of its divisors is an integer number (7581042377496).

Almost surely, 2^{127072710326496} is an apocalyptic number.

127072710326496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127072710326496 is an abundant number, since it is smaller than the sum of its proper divisors (236817323793312).

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

127072710326496 is a wasteful number, since it uses less digits than its factorization.

127072710326496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120334006015 (or 120334006007 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 127072710326496 in words is "one hundred twenty-seven trillion, seventy-two billion, seven hundred ten million, three hundred twenty-six thousand, four hundred ninety-six".