1075385592064 has 243 divisors, whose sum is σ = 2564306098473. Its totient is φ = 448783878144.

The previous prime is 1075385592041. The next prime is 1075385592077. The reversal of 1075385592064 is 4602955835701.

The square root of 1075385592064 is 1037008.

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

1075385592064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1053661190400 + 21724401664 = 1026480^2 + 147392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1075385591996 and 1075385592014.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5458810014 + ... + 5458810210.

It is a 1-persistent number, because it is pandigital, but 2⋅1075385592064 = 2150771184128 is not.

Almost surely, 2^{1075385592064} is an apocalyptic number.

1075385592064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1075385592064 is the 1037008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075385592064

1075385592064 is an abundant number, since it is smaller than the sum of its proper divisors (1488920506409).

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

1075385592064 is an frugal number, since it uses more digits than its factorization.

1075385592064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 1075385592064 in words is "one trillion, seventy-five billion, three hundred eighty-five million, five hundred ninety-two thousand, sixty-four".