127864137426840 has 192 divisors, whose sum is σ = 428319771048000. Its totient is φ = 33065765913600.

The previous prime is 127864137426827. The next prime is 127864137426847. The reversal of 127864137426840 is 48624731468721.

It is a happy number.

127864137426840 is a `hidden beast` number, since 1 + 2 + 7 + 86 + 413 + 7 + 42 + 68 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127864137426847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39445015 + ... + 42563334.

It is an arithmetic number, because the mean of its divisors is an integer number (2230832140875).

Almost surely, 2^{127864137426840} is an apocalyptic number.

127864137426840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127864137426840 is an abundant number, since it is smaller than the sum of its proper divisors (300455633621160).

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

127864137426840 is a wasteful number, since it uses less digits than its factorization.

127864137426840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82008498 (or 82008491 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 127864137426840 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, one hundred thirty-seven million, four hundred twenty-six thousand, eight hundred forty".