1064521328800 has 36 divisors (see below), whose sum is σ = 2598762695886. Its totient is φ = 425808531200.

The previous prime is 1064521328779. The next prime is 1064521328873. The reversal of 1064521328800 is 88231254601.

It can be written as a sum of positive squares in 3 ways, for example, as 773210696976 + 291310631824 = 879324^2 + 539732^2 .

It is a super-2 number, since 2×1064521328800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 665325031 + ... + 665326630.

Almost surely, 2^{1064521328800} is an apocalyptic number.

1064521328800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064521328800 is an abundant number, since it is smaller than the sum of its proper divisors (1534241367086).

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

1064521328800 is a wasteful number, since it uses less digits than its factorization.

1064521328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330651681 (or 1330651668 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 1064521328800 in words is "one trillion, sixty-four billion, five hundred twenty-one million, three hundred twenty-eight thousand, eight hundred".