1060828030080 has 1024 divisors, whose sum is σ = 4749358924800. Its totient is φ = 217761841152.

The previous prime is 1060828030061. The next prime is 1060828030081. The reversal of 1060828030080 is 800308280601.

1060828030080 is a `hidden beast` number, since 10 + 60 + 8 + 280 + 300 + 8 + 0 = 666.

1060828030080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1060828030080² (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 (1060828030081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58172644 + ... + 58190876.

It is an arithmetic number, because the mean of its divisors is an integer number (4638045825).

Almost surely, 2^{1060828030080} is an apocalyptic number.

1060828030080 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 1060828030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374679462400).

1060828030080 is an abundant number, since it is smaller than the sum of its proper divisors (3688530894720).

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

1060828030080 is a wasteful number, since it uses less digits than its factorization.

1060828030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18318 (or 18300 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1060828030080 in words is "one trillion, sixty billion, eight hundred twenty-eight million, thirty thousand, eighty".