127972774800 has 600 divisors, whose sum is σ = 520678410560. Its totient is φ = 29841177600.

The previous prime is 127972774799. The next prime is 127972774807. The reversal of 127972774800 is 8477279721.

127972774800 is a `hidden beast` number, since 1 + 2 + 7 + 97 + 2 + 77 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127972774807) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 7994805 + ... + 8010795.

Almost surely, 2^127972774800 is an apocalyptic number.

127972774800 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 127972774800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260339205280).

127972774800 is an abundant number, since it is smaller than the sum of its proper divisors (392705635760).

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

127972774800 is a wasteful number, since it uses less digits than its factorization.

127972774800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16053 (or 16033 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 127972774800 in words is "one hundred twenty-seven billion, nine hundred seventy-two million, seven hundred seventy-four thousand, eight hundred".