127915256628 has 72 divisors (see below), whose sum is σ = 331299016776. Its totient is φ = 41589504000.

The previous prime is 127915256627. The next prime is 127915256639. The reversal of 127915256628 is 826652519721.

127915256628 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 1 + 5 + 2 + 5 + 6 + 628 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42299326224 + 85615930404 = 205668^2 + 292602^2 .

It is a super-4 number, since 4×127915256628⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127915256627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12914478 + ... + 12924378.

It is an arithmetic number, because the mean of its divisors is an integer number (4601375233).

Almost surely, 2^127915256628 is an apocalyptic number.

127915256628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127915256628 is an abundant number, since it is smaller than the sum of its proper divisors (203383760148).

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

127915256628 is a wasteful number, since it uses less digits than its factorization.

127915256628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18705 (or 18700 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 127915256628 in words is "one hundred twenty-seven billion, nine hundred fifteen million, two hundred fifty-six thousand, six hundred twenty-eight".