127938988800 has 648 divisors, whose sum is σ = 529191796224. Its totient is φ = 28883312640.

The previous prime is 127938988799. The next prime is 127938988817. The reversal of 127938988800 is 8889839721.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33463689 + ... + 33467511.

Almost surely, 2^127938988800 is an apocalyptic number.

127938988800 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 127938988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264595898112).

127938988800 is an abundant number, since it is smaller than the sum of its proper divisors (401252807424).

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

127938988800 is a wasteful number, since it uses less digits than its factorization.

127938988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 127938988800 in words is "one hundred twenty-seven billion, nine hundred thirty-eight million, nine hundred eighty-eight thousand, eight hundred".