1020568693824 has 189 divisors, whose sum is σ = 3039581866087. Its totient is φ = 339971354496.

The previous prime is 1020568693817. The next prime is 1020568693847. The reversal of 1020568693824 is 4283968650201.

The square root of 1020568693824 is 1010232.

It is a perfect power (a square), and thus also a powerful number.

1020568693824 is a `hidden beast` number, since 1 + 0 + 20 + 568 + 6 + 9 + 38 + 24 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 654629557 + ... + 654631115.

Almost surely, 2^{1020568693824} is an apocalyptic number.

1020568693824 is the 1010232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020568693824

1020568693824 is an abundant number, since it is smaller than the sum of its proper divisors (2019013172263).

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

1020568693824 is an frugal number, since it uses more digits than its factorization.

1020568693824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1020568693824 in words is "one trillion, twenty billion, five hundred sixty-eight million, six hundred ninety-three thousand, eight hundred twenty-four".