127754496000 has 960 divisors, whose sum is σ = 488827619280. Its totient is φ = 33177600000.

The previous prime is 127754495989. The next prime is 127754496007. The reversal of 127754496000 is 694457721.

127754496000 is a `hidden beast` number, since 12 + 7 + 7 + 544 + 96 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3692749824 + 124061746176 = 60768^2 + 352224^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×127754496000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (127754496007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1264895950 + ... + 1264896050.

Almost surely, 2^127754496000 is an apocalyptic number.

127754496000 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 127754496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244413809640).

127754496000 is an abundant number, since it is smaller than the sum of its proper divisors (361073123280).

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

127754496000 is an equidigital number, since it uses as much as digits as its factorization.

127754496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 127754496000 in words is "one hundred twenty-seven billion, seven hundred fifty-four million, four hundred ninety-six thousand".