127290654323856 has 135 divisors (see below), whose sum is σ = 362196227306667. Its totient is φ = 41731933006080.

The previous prime is 127290654323797. The next prime is 127290654323867. The reversal of 127290654323856 is 658323456092721.

The square root of 127290654323856 is 11282316.

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

127290654323856 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 9 + 0 + 6 + 543 + 2 + 3 + 85 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4604371808400 + 122686282515456 = 2145780^2 + 11076384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127290654323793 and 127290654323802.

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, 8258647606 + ... + 8258663018.

It is a 1-persistent number, because it is pandigital, but 2⋅127290654323856 = 254581308647712 is not.

Almost surely, 2^{127290654323856} is an apocalyptic number.

127290654323856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127290654323856 is the 11282316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127290654323856

127290654323856 is an abundant number, since it is smaller than the sum of its proper divisors (234905572982811).

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

127290654323856 is an frugal number, since it uses more digits than its factorization.

127290654323856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30962 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 127290654323856 in words is "one hundred twenty-seven trillion, two hundred ninety billion, six hundred fifty-four million, three hundred twenty-three thousand, eight hundred fifty-six".