127011873744 has 560 divisors, whose sum is σ = 439123680000. Its totient is φ = 35544966912.

The previous prime is 127011873731. The next prime is 127011873749. The reversal of 127011873744 is 447378110721.

127011873744 is a `hidden beast` number, since 1 + 270 + 1 + 1 + 8 + 7 + 374 + 4 = 666.

It is a super-2 number, since 2×127011873744² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127011873744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127011873749) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 212039557 + ... + 212040155.

Almost surely, 2^127011873744 is an apocalyptic number.

127011873744 is a gapful number since it is divisible by the number (14) 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 127011873744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219561840000).

127011873744 is an abundant number, since it is smaller than the sum of its proper divisors (312111806256).

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

127011873744 is an frugal number, since it uses more digits than its factorization.

127011873744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 664 counting only the distinct ones).

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

The spelling of 127011873744 in words is "one hundred twenty-seven billion, eleven million, eight hundred seventy-three thousand, seven hundred forty-four".