127314642319920 has 320 divisors, whose sum is σ = 487420728076800. Its totient is φ = 30281812853760.

The previous prime is 127314642319897. The next prime is 127314642319937. The reversal of 127314642319920 is 29913246413721.

127314642319920 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 1 + 4 + 6 + 423 + 199 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49291290 + ... + 51809849.

It is an arithmetic number, because the mean of its divisors is an integer number (1523189775240).

Almost surely, 2^{127314642319920} is an apocalyptic number.

127314642319920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127314642319920 is an abundant number, since it is smaller than the sum of its proper divisors (360106085756880).

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

127314642319920 is a wasteful number, since it uses less digits than its factorization.

127314642319920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101101225 (or 101101213 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 127314642319920 in words is "one hundred twenty-seven trillion, three hundred fourteen billion, six hundred forty-two million, three hundred nineteen thousand, nine hundred twenty".