127678524480 has 1120 divisors, whose sum is σ = 535332188160. Its totient is φ = 28585820160.

The previous prime is 127678524461. The next prime is 127678524481. The reversal of 127678524480 is 84425876721.

127678524480 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 78 + 524 + 48 + 0 = 666.

It is a super-2 number, since 2×127678524480² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (127678524481) 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 159 ways as a sum of consecutive naturals, for example, 177577561 + ... + 177578279.

It is an arithmetic number, because the mean of its divisors is an integer number (477975168).

Almost surely, 2^127678524480 is an apocalyptic number.

127678524480 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 127678524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267666094080).

127678524480 is an abundant number, since it is smaller than the sum of its proper divisors (407653663680).

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

127678524480 is a wasteful number, since it uses less digits than its factorization.

127678524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 127678524480 in words is "one hundred twenty-seven billion, six hundred seventy-eight million, five hundred twenty-four thousand, four hundred eighty".