127906369600 has 63 divisors (see below), whose sum is σ = 314764815351. Its totient is φ = 51156825600.

The previous prime is 127906369463. The next prime is 127906369603. The reversal of 127906369600 is 6963609721.

The square root of 127906369600 is 357640.

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 51494976 + 127854874624 = 7176^2 + 357568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127906369603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14301130 + ... + 14310070.

Almost surely, 2^127906369600 is an apocalyptic number.

127906369600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127906369600 is the 357640-th square number.

It is an amenable number.

127906369600 is an abundant number, since it is smaller than the sum of its proper divisors (186858445751).

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

127906369600 is an frugal number, since it uses more digits than its factorization.

127906369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17904 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

Multiplying 127906369600 by its sum of digits (49), we get a square (6267412110400 = 2503480²).

The spelling of 127906369600 in words is "one hundred twenty-seven billion, nine hundred six million, three hundred sixty-nine thousand, six hundred".