2071053971712 has 360 divisors, whose sum is σ = 6742014646752. Its totient is φ = 627117465600.

The previous prime is 2071053971699. The next prime is 2071053971717. The reversal of 2071053971712 is 2171793501702.

2071053971712 is a `hidden beast` number, since 20 + 7 + 10 + 539 + 71 + 7 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (2071053971717) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 407605012 + ... + 407610092.

Almost surely, 2^{2071053971712} is an apocalyptic number.

2071053971712 is a gapful number since it is divisible by the number (22) 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 2071053971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371007323376).

2071053971712 is an abundant number, since it is smaller than the sum of its proper divisors (4670960675040).

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

2071053971712 is a wasteful number, since it uses less digits than its factorization.

2071053971712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 2071053971712 in words is "two trillion, seventy-one billion, fifty-three million, nine hundred seventy-one thousand, seven hundred twelve".