127649053872 has 160 divisors (see below), whose sum is σ = 383053340160. Its totient is φ = 40622757120.

The previous prime is 127649053871. The next prime is 127649053891. The reversal of 127649053872 is 278350946721.

It is a happy number.

127649053872 is a `hidden beast` number, since 1 + 2 + 76 + 490 + 5 + 3 + 87 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (127649053871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5363503 + ... + 5387249.

It is an arithmetic number, because the mean of its divisors is an integer number (2394083376).

It is a 1-persistent number, because it is pandigital, but 2⋅127649053872 = 255298107744 is not.

Almost surely, 2^127649053872 is an apocalyptic number.

127649053872 is a gapful number since it is divisible by the number (12) 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 127649053872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191526670080).

127649053872 is an abundant number, since it is smaller than the sum of its proper divisors (255404286288).

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

127649053872 is a wasteful number, since it uses less digits than its factorization.

127649053872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24328 (or 24316 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 127649053872 in words is "one hundred twenty-seven billion, six hundred forty-nine million, fifty-three thousand, eight hundred seventy-two".