127976659920 has 240 divisors, whose sum is σ = 453207867840. Its totient is φ = 32273842176.

The previous prime is 127976659903. The next prime is 127976659969. The reversal of 127976659920 is 29956679721.

127976659920 is a `hidden beast` number, since 12 + 7 + 9 + 7 + 6 + 6 + 599 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8022192 + ... + 8038128.

It is an arithmetic number, because the mean of its divisors is an integer number (1888366116).

Almost surely, 2^127976659920 is an apocalyptic number.

127976659920 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 127976659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226603933920).

127976659920 is an abundant number, since it is smaller than the sum of its proper divisors (325231207920).

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

127976659920 is a wasteful number, since it uses less digits than its factorization.

127976659920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16562 (or 16553 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 127976659920 in words is "one hundred twenty-seven billion, nine hundred seventy-six million, six hundred fifty-nine thousand, nine hundred twenty".