127049160420 has 576 divisors, whose sum is σ = 510478295040. Its totient is φ = 25637534208.

The previous prime is 127049160373. The next prime is 127049160437. The reversal of 127049160420 is 24061940721.

It is a happy number.

127049160420 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 49 + 1 + 604 + 2 + 0 = 666.

It is a super-2 number, since 2×127049160420² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14688537 + ... + 14697183.

It is an arithmetic number, because the mean of its divisors is an integer number (886247040).

Almost surely, 2^127049160420 is an apocalyptic number.

127049160420 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 127049160420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255239147520).

127049160420 is an abundant number, since it is smaller than the sum of its proper divisors (383429134620).

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

127049160420 is a wasteful number, since it uses less digits than its factorization.

127049160420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 127049160420 in words is "one hundred twenty-seven billion, forty-nine million, one hundred sixty thousand, four hundred twenty".