1061249275008 has 256 divisors, whose sum is σ = 3399672729600. Its totient is φ = 323965329408.

The previous prime is 1061249274959. The next prime is 1061249275049. The reversal of 1061249275008 is 8005729421601.

1061249275008 is a `hidden beast` number, since 1 + 0 + 612 + 4 + 9 + 27 + 5 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1061249275008² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5612860 + ... + 5798852.

It is an arithmetic number, because the mean of its divisors is an integer number (13279971600).

Almost surely, 2^{1061249275008} is an apocalyptic number.

1061249275008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061249275008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699836364800).

1061249275008 is an abundant number, since it is smaller than the sum of its proper divisors (2338423454592).

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

1061249275008 is a wasteful number, since it uses less digits than its factorization.

1061249275008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186156 (or 186138 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1061249275008 in words is "one trillion, sixty-one billion, two hundred forty-nine million, two hundred seventy-five thousand, eight".