1071311062656 has 128 divisors (see below), whose sum is σ = 2938848675840. Its totient is φ = 345421532160.

The previous prime is 1071311062643. The next prime is 1071311062667. The reversal of 1071311062656 is 6562601131701.

1071311062656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1071311062656² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26680611 + ... + 26720733.

It is an arithmetic number, because the mean of its divisors is an integer number (22959755280).

Almost surely, 2^{1071311062656} is an apocalyptic number.

1071311062656 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 1071311062656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469424337920).

1071311062656 is an abundant number, since it is smaller than the sum of its proper divisors (1867537613184).

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

1071311062656 is a wasteful number, since it uses less digits than its factorization.

1071311062656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42414 (or 42402 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 1071311062656 in words is "one trillion, seventy-one billion, three hundred eleven million, sixty-two thousand, six hundred fifty-six".