1045010302560 has 2688 divisors, whose sum is σ = 4797610352640. Its totient is φ = 209616076800.

The previous prime is 1045010302543. The next prime is 1045010302561. The reversal of 1045010302560 is 652030105401.

1045010302560 is a `hidden beast` number, since 10 + 4 + 50 + 10 + 30 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045010302561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 19717175494 + ... + 19717175546.

It is an arithmetic number, because the mean of its divisors is an integer number (1784825280).

Almost surely, 2^{1045010302560} is an apocalyptic number.

1045010302560 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 1045010302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398805176320).

1045010302560 is an abundant number, since it is smaller than the sum of its proper divisors (3752600050080).

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

1045010302560 is a wasteful number, since it uses less digits than its factorization.

1045010302560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1045010302560 its reverse (652030105401), we get a palindrome (1697040407961).

The spelling of 1045010302560 in words is "one trillion, forty-five billion, ten million, three hundred two thousand, five hundred sixty".