127690686630144 has 864 divisors, whose sum is σ = 417365589408768. Its totient is φ = 37196070912000.

The previous prime is 127690686630121. The next prime is 127690686630151. The reversal of 127690686630144 is 441036686096721.

127690686630144 is a `hidden beast` number, since 1 + 276 + 90 + 6 + 86 + 63 + 0 + 144 = 666.

It is a super-2 number, since 2×127690686630144² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116825879262 + ... + 116825880354.

Almost surely, 2^{127690686630144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127690686630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208682794704384).

127690686630144 is an abundant number, since it is smaller than the sum of its proper divisors (289674902778624).

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

127690686630144 is a wasteful number, since it uses less digits than its factorization.

127690686630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 127690686630144 in words is "one hundred twenty-seven trillion, six hundred ninety billion, six hundred eighty-six million, six hundred thirty thousand, one hundred forty-four".