1072056648168 has 256 divisors, whose sum is σ = 3391542835200. Its totient is φ = 310590720000.

The previous prime is 1072056648133. The next prime is 1072056648203. The reversal of 1072056648168 is 8618466502701.

1072056648168 is a `hidden beast` number, since 1 + 0 + 7 + 20 + 566 + 48 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1072056648133) and next prime (1072056648203).

It is a super-2 number, since 2×1072056648168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166181343 + ... + 166187793.

It is an arithmetic number, because the mean of its divisors is an integer number (13248214200).

Almost surely, 2^{1072056648168} is an apocalyptic number.

1072056648168 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 1072056648168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695771417600).

1072056648168 is an abundant number, since it is smaller than the sum of its proper divisors (2319486187032).

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

1072056648168 is a wasteful number, since it uses less digits than its factorization.

1072056648168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1072056648168 in words is "one trillion, seventy-two billion, fifty-six million, six hundred forty-eight thousand, one hundred sixty-eight".