127872639745920 has 192 divisors, whose sum is σ = 448798902308640. Its totient is φ = 33540364431360.

The previous prime is 127872639745897. The next prime is 127872639745927. The reversal of 127872639745920 is 29547936278721.

127872639745920 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 7 + 2 + 63 + 97 + 459 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127872639745927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181616764 + ... + 182319483.

It is a 1-persistent number, because it is pandigital, but 2⋅127872639745920 = 255745279491840 is not.

Almost surely, 2^{127872639745920} is an apocalyptic number.

127872639745920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127872639745920 is an abundant number, since it is smaller than the sum of its proper divisors (320926262562720).

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

127872639745920 is a wasteful number, since it uses less digits than its factorization.

127872639745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363936333 (or 363936318 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 127872639745920 in words is "one hundred twenty-seven trillion, eight hundred seventy-two billion, six hundred thirty-nine million, seven hundred forty-five thousand, nine hundred twenty".