127690970353408 has 360 divisors, whose sum is σ = 321622817868800. Its totient is φ = 49563390412800.

The previous prime is 127690970353363. The next prime is 127690970353409. The reversal of 127690970353408 is 804353079096721.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 127690970353408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127690970353409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7110129133 + ... + 7110147091.

It is a 2-persistent number, because it is pandigital, and so is 2⋅127690970353408 = 255381940706816, but 3⋅127690970353408 = 383072911060224 is not.

Almost surely, 2^{127690970353408} 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 127690970353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160811408934400).

127690970353408 is an abundant number, since it is smaller than the sum of its proper divisors (193931847515392).

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

127690970353408 is an frugal number, since it uses more digits than its factorization.

127690970353408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18297 (or 18250 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 127690970353408 in words is "one hundred twenty-seven trillion, six hundred ninety billion, nine hundred seventy million, three hundred fifty-three thousand, four hundred eight".