127472716800 has 1584 divisors, whose sum is σ = 553805991648. Its totient is φ = 27603763200.

The previous prime is 127472716799. The next prime is 127472716823. The reversal of 127472716800 is 8617274721.

127472716800 is a `hidden beast` number, since 12 + 7 + 472 + 7 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-4 number, since 4×127472716800⁴ (a number of 46 digits) contains 4444 as substring.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1746201564 + ... + 1746201636.

Almost surely, 2^127472716800 is an apocalyptic number.

127472716800 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 127472716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276902995824).

127472716800 is an abundant number, since it is smaller than the sum of its proper divisors (426333274848).

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

127472716800 is a wasteful number, since it uses less digits than its factorization.

127472716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 127472716800 in words is "one hundred twenty-seven billion, four hundred seventy-two million, seven hundred sixteen thousand, eight hundred".