127663100400 has 120 divisors (see below), whose sum is σ = 446124553344. Its totient is φ = 30948627200.

The previous prime is 127663100377. The next prime is 127663100407. The reversal of 127663100400 is 4001366721.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127663100407) 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, 4822524 + ... + 4848923.

Almost surely, 2^127663100400 is an apocalyptic number.

127663100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127663100400 is an abundant number, since it is smaller than the sum of its proper divisors (318461452944).

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

127663100400 is a wasteful number, since it uses less digits than its factorization.

127663100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671479 (or 9671468 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 127663100400 in words is "one hundred twenty-seven billion, six hundred sixty-three million, one hundred thousand, four hundred".