127063007311680 has 448 divisors, whose sum is σ = 489465714447360. Its totient is φ = 30773820672000.

The previous prime is 127063007311679. The next prime is 127063007311711. The reversal of 127063007311680 is 86113700360721.

127063007311680 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 630 + 0 + 7 + 3 + 1 + 1 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×127063007311680³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99251007 + ... + 100523073.

It is an arithmetic number, because the mean of its divisors is an integer number (1092557398320).

Almost surely, 2^{127063007311680} is an apocalyptic number.

127063007311680 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 127063007311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244732857223680).

127063007311680 is an abundant number, since it is smaller than the sum of its proper divisors (362402707135680).

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

127063007311680 is a wasteful number, since it uses less digits than its factorization.

127063007311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273155 (or 1273139 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 127063007311680 in words is "one hundred twenty-seven trillion, sixty-three billion, seven million, three hundred eleven thousand, six hundred eighty".