1070082671616 has 528 divisors, whose sum is σ = 3581695836160. Its totient is φ = 301405224960.

The previous prime is 1070082671561. The next prime is 1070082671657. The reversal of 1070082671616 is 6161762800701.

1070082671616 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 0 + 8 + 26 + 7 + 1 + 616 = 666.

It is a super-2 number, since 2×1070082671616² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728727755 + ... + 1728728373.

Almost surely, 2^{1070082671616} is an apocalyptic number.

1070082671616 is a gapful number since it is divisible by the number (16) 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 1070082671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790847918080).

1070082671616 is an abundant number, since it is smaller than the sum of its proper divisors (2511613164544).

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

1070082671616 is a wasteful number, since it uses less digits than its factorization.

1070082671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1070082671616 in words is "one trillion, seventy billion, eighty-two million, six hundred seventy-one thousand, six hundred sixteen".