1009560812832 has 576 divisors, whose sum is σ = 3637199220480. Its totient is φ = 270108241920.

The previous prime is 1009560812831. The next prime is 1009560812851. The reversal of 1009560812832 is 2382180659001.

1009560812832 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 5 + 608 + 1 + 2 + 8 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (1009560812831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31242508 + ... + 31274804.

It is an arithmetic number, because the mean of its divisors is an integer number (6314581980).

Almost surely, 2^{1009560812832} is an apocalyptic number.

1009560812832 is a gapful number since it is divisible by the number (12) 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 1009560812832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818599610240).

1009560812832 is an abundant number, since it is smaller than the sum of its proper divisors (2627638407648).

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

1009560812832 is a wasteful number, since it uses less digits than its factorization.

1009560812832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32374 (or 32349 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1009560812832 in words is "one trillion, nine billion, five hundred sixty million, eight hundred twelve thousand, eight hundred thirty-two".