1064952128592 has 240 divisors, whose sum is σ = 3265789101120. Its totient is φ = 321280819200.

The previous prime is 1064952128587. The next prime is 1064952128593. The reversal of 1064952128592 is 2958212594601.

1064952128592 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 9 + 5 + 21 + 28 + 592 = 666.

It is a super-2 number, since 2×1064952128592² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064952128593) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638077134 + ... + 638078802.

It is an arithmetic number, because the mean of its divisors is an integer number (13607454588).

Almost surely, 2^{1064952128592} is an apocalyptic number.

1064952128592 is a gapful number since it is divisible by the number (12) 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 1064952128592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632894550560).

1064952128592 is an abundant number, since it is smaller than the sum of its proper divisors (2200836972528).

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

1064952128592 is a wasteful number, since it uses less digits than its factorization.

1064952128592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1064952128592 in words is "one trillion, sixty-four billion, nine hundred fifty-two million, one hundred twenty-eight thousand, five hundred ninety-two".