127056080954880 has 1920 divisors, whose sum is σ = 580108150702080. Its totient is φ = 24898090106880.

The previous prime is 127056080954863. The next prime is 127056080955019. The reversal of 127056080954880 is 88459080650721.

127056080954880 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 5 + 6 + 0 + 8 + 0 + 9 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×127056080954880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 7516768509 + ... + 7516785411.

It is an arithmetic number, because the mean of its divisors is an integer number (302139661824).

Almost surely, 2^{127056080954880} is an apocalyptic number.

127056080954880 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 127056080954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290054075351040).

127056080954880 is an abundant number, since it is smaller than the sum of its proper divisors (453052069747200).

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

127056080954880 is a wasteful number, since it uses less digits than its factorization.

127056080954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17192 (or 17173 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 127056080954880 in words is "one hundred twenty-seven trillion, fifty-six billion, eighty million, nine hundred fifty-four thousand, eight hundred eighty".