1064235552400 has 60 divisors (see below), whose sum is σ = 2557030818100. Its totient is φ = 425660106240.

The previous prime is 1064235552361. The next prime is 1064235552407. The reversal of 1064235552400 is 42555324601.

It can be written as a sum of positive squares in 6 ways, for example, as 15594015376 + 1048641537024 = 124876^2 + 1024032^2 .

It is a super-2 number, since 2×1064235552400² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064235552400.

It is not an unprimeable number, because it can be changed into a prime (1064235552407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5223646 + ... + 5423554.

Almost surely, 2^{1064235552400} is an apocalyptic number.

1064235552400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064235552400 is an abundant number, since it is smaller than the sum of its proper divisors (1492795265700).

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

1064235552400 is a wasteful number, since it uses less digits than its factorization.

1064235552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213236 (or 213225 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 1064235552400 in words is "one trillion, sixty-four billion, two hundred thirty-five million, five hundred fifty-two thousand, four hundred".