1065921910560 has 864 divisors, whose sum is σ = 4217236627968. Its totient is φ = 253868359680.

The previous prime is 1065921910507. The next prime is 1065921910633. The reversal of 1065921910560 is 650191295601.

It is a happy number.

1065921910560 is a `hidden beast` number, since 1 + 0 + 6 + 59 + 21 + 9 + 10 + 560 = 666.

1065921910560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1065921910560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203689704 + ... + 203694936.

It is an arithmetic number, because the mean of its divisors is an integer number (4881060912).

Almost surely, 2^{1065921910560} is an apocalyptic number.

1065921910560 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 1065921910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108618313984).

1065921910560 is an abundant number, since it is smaller than the sum of its proper divisors (3151314717408).

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

1065921910560 is a wasteful number, since it uses less digits than its factorization.

1065921910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 1065921910560 in words is "one trillion, sixty-five billion, nine hundred twenty-one million, nine hundred ten thousand, five hundred sixty".