1071350656320 has 448 divisors, whose sum is σ = 4037007237120. Its totient is φ = 235525742592.

The previous prime is 1071350656249. The next prime is 1071350656351. The reversal of 1071350656320 is 236560531701.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1071350656320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 51242989 + ... + 51263891.

Almost surely, 2^{1071350656320} is an apocalyptic number.

1071350656320 is a gapful number since it is divisible by the number (10) 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 1071350656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018503618560).

1071350656320 is an abundant number, since it is smaller than the sum of its proper divisors (2965656580800).

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

1071350656320 is a wasteful number, since it uses less digits than its factorization.

1071350656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21222 (or 21212 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 1071350656320 in words is "one trillion, seventy-one billion, three hundred fifty million, six hundred fifty-six thousand, three hundred twenty".