127349870803600 has 135 divisors (see below), whose sum is σ = 325024068778171. Its totient is φ = 47942036300800.

The previous prime is 127349870803577. The next prime is 127349870803633. The reversal of 127349870803600 is 6308078943721.

The square root of 127349870803600 is 11284940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2978841268624 + 124371029534976 = 1725932^2 + 11152176^2 .

It is a super-2 number, since 2×127349870803600² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3836863005 + ... + 3836896195.

Almost surely, 2^{127349870803600} is an apocalyptic number.

127349870803600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127349870803600 is the 11284940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127349870803600

127349870803600 is an abundant number, since it is smaller than the sum of its proper divisors (197674197974571).

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

127349870803600 is an frugal number, since it uses more digits than its factorization.

127349870803600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66434 (or 33215 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 127349870803600 in words is "one hundred twenty-seven trillion, three hundred forty-nine billion, eight hundred seventy million, eight hundred three thousand, six hundred".