127890201600 has 792 divisors, whose sum is σ = 527434277760. Its totient is φ = 29003120640.

The previous prime is 127890201589. The next prime is 127890201643. The reversal of 127890201600 is 6102098721.

127890201600 is a `hidden beast` number, since 1 + 27 + 8 + 9 + 0 + 20 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288690979 + ... + 288691421.

Almost surely, 2^127890201600 is an apocalyptic number.

127890201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127890201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263717138880).

127890201600 is an abundant number, since it is smaller than the sum of its proper divisors (399544076160).

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

127890201600 is a wasteful number, since it uses less digits than its factorization.

127890201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 127890201600 in words is "one hundred twenty-seven billion, eight hundred ninety million, two hundred one thousand, six hundred".