1061583304320 has 2560 divisors, whose sum is σ = 5104824975360. Its totient is φ = 203644108800.

The previous prime is 1061583304267. The next prime is 1061583304321. The reversal of 1061583304320 is 234033851601.

1061583304320 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 583 + 30 + 43 + 2 + 0 = 666.

It is a super-2 number, since 2×1061583304320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1061583304321) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2846067654 + ... + 2846068026.

It is an arithmetic number, because the mean of its divisors is an integer number (1994072256).

Almost surely, 2^{1061583304320} is an apocalyptic number.

1061583304320 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 1061583304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552412487680).

1061583304320 is an abundant number, since it is smaller than the sum of its proper divisors (4043241671040).

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

1061583304320 is a wasteful number, since it uses less digits than its factorization.

1061583304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1061583304320 in words is "one trillion, sixty-one billion, five hundred eighty-three million, three hundred four thousand, three hundred twenty".