127985538240 has 896 divisors, whose sum is σ = 554492160000. Its totient is φ = 27701968896.

The previous prime is 127985538217. The next prime is 127985538277. The reversal of 127985538240 is 42835589721.

127985538240 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 8 + 553 + 82 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56305744 + ... + 56308016.

Almost surely, 2^127985538240 is an apocalyptic number.

127985538240 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 127985538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277246080000).

127985538240 is an abundant number, since it is smaller than the sum of its proper divisors (426506621760).

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

127985538240 is a wasteful number, since it uses less digits than its factorization.

127985538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 127985538240 in words is "one hundred twenty-seven billion, nine hundred eighty-five million, five hundred thirty-eight thousand, two hundred forty".