127663290000 has 375 divisors, whose sum is σ = 462886404717. Its totient is φ = 33957792000.

The previous prime is 127663289953. The next prime is 127663290019. The reversal of 127663290000 is 92366721.

The square root of 127663290000 is 357300.

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

127663290000 is a `hidden beast` number, since 12 + 7 + 6 + 632 + 9 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 77780747664 + 49882542336 = 278892^2 + 223344^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×127663290000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 321569802 + ... + 321570198.

Almost surely, 2^127663290000 is an apocalyptic number.

127663290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127663290000 is the 357300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127663290000

127663290000 is an abundant number, since it is smaller than the sum of its proper divisors (335223114717).

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

127663290000 is an frugal number, since it uses more digits than its factorization.

127663290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 127663290000 by its sum of digits (36), we get a square (4595878440000 = 2143800²).

127663290000 divided by its sum of digits (36) gives a square (3546202500 = 59550²).

The spelling of 127663290000 in words is "one hundred twenty-seven billion, six hundred sixty-three million, two hundred ninety thousand".