127126820152808 has 128 divisors (see below), whose sum is σ = 278833453920000. Its totient is φ = 53214261534720.

The previous prime is 127126820152763. The next prime is 127126820152837. The reversal of 127126820152808 is 808251028621721.

It is a Cunningham number, because it is equal to 11275053²-1.

It is a super-2 number, since 2×127126820152808² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127126820152808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3743300948 + ... + 3743334908.

It is an arithmetic number, because the mean of its divisors is an integer number (2178386358750).

Almost surely, 2^{127126820152808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127126820152808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139416726960000).

127126820152808 is an abundant number, since it is smaller than the sum of its proper divisors (151706633767192).

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

127126820152808 is a wasteful number, since it uses less digits than its factorization.

127126820152808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43195 (or 43191 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 53.

The spelling of 127126820152808 in words is "one hundred twenty-seven trillion, one hundred twenty-six billion, eight hundred twenty million, one hundred fifty-two thousand, eight hundred eight".