127969148160 has 288 divisors, whose sum is σ = 518986970880. Its totient is φ = 29250035712.

The previous prime is 127969148149. The next prime is 127969148231. The reversal of 127969148160 is 61841969721.

127969148160 is a `hidden beast` number, since 1 + 2 + 79 + 6 + 91 + 481 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×127969148160² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 127969148097 and 127969148106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22567 + ... + 506406.

Almost surely, 2^127969148160 is an apocalyptic number.

127969148160 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 127969148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259493485440).

127969148160 is an abundant number, since it is smaller than the sum of its proper divisors (391017822720).

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

127969148160 is an equidigital number, since it uses as much as digits as its factorization.

127969148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529010 (or 528990 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 127969148160 in words is "one hundred twenty-seven billion, nine hundred sixty-nine million, one hundred forty-eight thousand, one hundred sixty".