127977408000 has 1120 divisors, whose sum is σ = 517707302112. Its totient is φ = 31352832000.

The previous prime is 127977407983. The next prime is 127977408037. The reversal of 127977408000 is 804779721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 606527895 + ... + 606528105.

Almost surely, 2^127977408000 is an apocalyptic number.

127977408000 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 127977408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258853651056).

127977408000 is an abundant number, since it is smaller than the sum of its proper divisors (389729894112).

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

127977408000 is an frugal number, since it uses more digits than its factorization.

127977408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 127977408000 in words is "one hundred twenty-seven billion, nine hundred seventy-seven million, four hundred eight thousand".