1006170781616 has 600 divisors, whose sum is σ = 2737414655856. Its totient is φ = 355053404160.

The previous prime is 1006170781591. The next prime is 1006170781621. The reversal of 1006170781616 is 6161870716001.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5213320016 + ... + 5213320208.

Almost surely, 2^{1006170781616} is an apocalyptic number.

1006170781616 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 1006170781616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368707327928).

1006170781616 is an abundant number, since it is smaller than the sum of its proper divisors (1731243874240).

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

1006170781616 is a wasteful number, since it uses less digits than its factorization.

1006170781616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 44.

The spelling of 1006170781616 in words is "one trillion, six billion, one hundred seventy million, seven hundred eighty-one thousand, six hundred sixteen".