1064955416820 has 192 divisors, whose sum is σ = 3112408696320. Its totient is φ = 271743281152.

The previous prime is 1064955416813. The next prime is 1064955416839. The reversal of 1064955416820 is 286145594601.

It is a super-2 number, since 2×1064955416820² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90145234 + ... + 90157046.

It is an arithmetic number, because the mean of its divisors is an integer number (16210461960).

Almost surely, 2^{1064955416820} is an apocalyptic number.

1064955416820 is a gapful number since it is divisible by the number (10) 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 1064955416820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556204348160).

1064955416820 is an abundant number, since it is smaller than the sum of its proper divisors (2047453279500).

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

1064955416820 is a wasteful number, since it uses less digits than its factorization.

1064955416820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12314 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 1064955416820 in words is "one trillion, sixty-four billion, nine hundred fifty-five million, four hundred sixteen thousand, eight hundred twenty".