1009539143680 has 96 divisors (see below), whose sum is σ = 2423209763520. Its totient is φ = 403664404480.

The previous prime is 1009539143659. The next prime is 1009539143749. The reversal of 1009539143680 is 863419359001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29648265 + ... + 29682295.

It is an arithmetic number, because the mean of its divisors is an integer number (25241768370).

Almost surely, 2^{1009539143680} is an apocalyptic number.

1009539143680 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 1009539143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211604881760).

1009539143680 is an abundant number, since it is smaller than the sum of its proper divisors (1413670619840).

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

1009539143680 is an equidigital number, since it uses as much as digits as its factorization.

1009539143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36955 (or 36935 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The spelling of 1009539143680 in words is "one trillion, nine billion, five hundred thirty-nine million, one hundred forty-three thousand, six hundred eighty".