127916267904 has 320 divisors, whose sum is σ = 390994560000. Its totient is φ = 41490828288.

The previous prime is 127916267903. The next prime is 127916267911. The reversal of 127916267904 is 409762619721.

127916267904 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 1 + 626 + 7 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127916267903) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 213549397 + ... + 213549995.

It is an arithmetic number, because the mean of its divisors is an integer number (1221858000).

Almost surely, 2^127916267904 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 127916267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195497280000).

127916267904 is an abundant number, since it is smaller than the sum of its proper divisors (263078292096).

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

127916267904 is an equidigital number, since it uses as much as digits as its factorization.

127916267904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 127916267904 in words is "one hundred twenty-seven billion, nine hundred sixteen million, two hundred sixty-seven thousand, nine hundred four".