1275126491016 has 384 divisors, whose sum is σ = 4269754944000. Its totient is φ = 335523741696.

The previous prime is 1275126491011. The next prime is 1275126491161. The reversal of 1275126491016 is 6101946215721.

1275126491016 is a `hidden beast` number, since 1 + 27 + 5 + 126 + 491 + 0 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (1275126491011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73958925 + ... + 73976163.

It is an arithmetic number, because the mean of its divisors is an integer number (11119153500).

Almost surely, 2^{1275126491016} 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 1275126491016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134877472000).

1275126491016 is an abundant number, since it is smaller than the sum of its proper divisors (2994628452984).

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

1275126491016 is a wasteful number, since it uses less digits than its factorization.

1275126491016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17461 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1275126491016 in words is "one trillion, two hundred seventy-five billion, one hundred twenty-six million, four hundred ninety-one thousand, sixteen".