1030505561280 has 1120 divisors, whose sum is σ = 4163694796800. Its totient is φ = 240142786560.

The previous prime is 1030505561269. The next prime is 1030505561317. The reversal of 1030505561280 is 821655050301.

It is a happy number.

1030505561280 is a `hidden beast` number, since 1 + 0 + 30 + 5 + 0 + 5 + 5 + 612 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 490949671 + ... + 490951769.

It is an arithmetic number, because the mean of its divisors is an integer number (3717584640).

Almost surely, 2^{1030505561280} is an apocalyptic number.

1030505561280 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 1030505561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081847398400).

1030505561280 is an abundant number, since it is smaller than the sum of its proper divisors (3133189235520).

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

1030505561280 is a wasteful number, since it uses less digits than its factorization.

1030505561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1030505561280 in words is "one trillion, thirty billion, five hundred five million, five hundred sixty-one thousand, two hundred eighty".