1074211826688 has 528 divisors, whose sum is σ = 4164641085696. Its totient is φ = 257551073280.

The previous prime is 1074211826629. The next prime is 1074211826729. The reversal of 1074211826688 is 8866281124701.

1074211826688 is a `hidden beast` number, since 1 + 0 + 7 + 421 + 1 + 82 + 66 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9166995 + ... + 9283437.

Almost surely, 2^{1074211826688} is an apocalyptic number.

1074211826688 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 1074211826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082320542848).

1074211826688 is an abundant number, since it is smaller than the sum of its proper divisors (3090429259008).

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

1074211826688 is a wasteful number, since it uses less digits than its factorization.

1074211826688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116500 (or 116479 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1074211826688 in words is "one trillion, seventy-four billion, two hundred eleven million, eight hundred twenty-six thousand, six hundred eighty-eight".