1070771885568 has 1280 divisors, whose sum is σ = 4276526284800. Its totient is φ = 255989514240.

The previous prime is 1070771885563. The next prime is 1070771885621. The reversal of 1070771885568 is 8655881770701.

1070771885568 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 7 + 71 + 8 + 8 + 556 + 8 = 666.

1070771885568 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 super-2 number, since 2×1070771885568² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070771885563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 850493323 + ... + 850494581.

It is an arithmetic number, because the mean of its divisors is an integer number (3341036160).

Almost surely, 2^{1070771885568} is an apocalyptic number.

1070771885568 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 1070771885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138263142400).

1070771885568 is an abundant number, since it is smaller than the sum of its proper divisors (3205754399232).

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

1070771885568 is a wasteful number, since it uses less digits than its factorization.

1070771885568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 63.

The spelling of 1070771885568 in words is "one trillion, seventy billion, seven hundred seventy-one million, eight hundred eighty-five thousand, five hundred sixty-eight".